Probability - ISEE Lower Level Quantitative Reasoning
Card 0 of 695
Selena has a standard deck of cards. What is the chance that she randomly selects a red card from the deck?
Selena has a standard deck of cards. What is the chance that she randomly selects a red card from the deck?
To find the probability of Selena picking a red card from a standard deck of cards, we need to set up a fraction like this: 
.
A standard deck of cards has 52 cards, 26 of which are black and 26 of which are red. Our fraction looks like this:
We can reduce the fraction, since both numbers share a common factor.
To find the probability of Selena picking a red card from a standard deck of cards, we need to set up a fraction like this:
A standard deck of cards has 52 cards, 26 of which are black and 26 of which are red. Our fraction looks like this:
We can reduce the fraction, since both numbers share a common factor.
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A piggy bank contains an assortment of quarters, dimes, nickels, and pennies. Assuming all coins are equally likely to be picked, if there are 
pennies, 
nickels, 
dimes, and 
quarters, what is the probability of drawing a quarter out of the bank?
A piggy bank contains an assortment of quarters, dimes, nickels, and pennies. Assuming all coins are equally likely to be picked, if there are
Adding together all of the numbers, 
total coins. Since there are 
quarters, the probability of drawing a quarter is 
, which can be simplified to 
.
Adding together all of the numbers,
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There are 2 blue blocks, 3 red blocks, and some yellow blocks on the ground. If the probability of picking a red block is 
, how many yellow blocks are there?
There are 2 blue blocks, 3 red blocks, and some yellow blocks on the ground. If the probability of picking a red block is
The probability given in the problem tells us how many total blocks there are, which is 10. (Probability is part over whole.) Since we know that there are 10 total, we can subtract the quantities of the red and blue blocks: 
Therefore there are 5 yellow blocks.
The probability given in the problem tells us how many total blocks there are, which is 10. (Probability is part over whole.) Since we know that there are 10 total, we can subtract the quantities of the red and blue blocks:
Therefore there are 5 yellow blocks.
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There is a raffle for a basket of cookies. Bill buys 3 tickets, Julie buys 2 tickets, Rob buys 4 tickets, and 5 other people buy 2 tickets each. What are the chances that Rob will win the raffle?
There is a raffle for a basket of cookies. Bill buys 3 tickets, Julie buys 2 tickets, Rob buys 4 tickets, and 5 other people buy 2 tickets each. What are the chances that Rob will win the raffle?
If Bill buys 3 tickets, Julie buys 2 tickets, Rob buys 4 tickets, and 5 other people buy 2 tickets each, there are a total of 19 tickets:
Thus, the chance of Rob winning is 
.
If Bill buys 3 tickets, Julie buys 2 tickets, Rob buys 4 tickets, and 5 other people buy 2 tickets each, there are a total of 19 tickets:
Thus, the chance of Rob winning is
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If Marie rolls a die with six sides, what is the probability that it will land on a prime number?
If Marie rolls a die with six sides, what is the probability that it will land on a prime number?
If Marie rolls a die, the possible number that will appear are: 
.
Of these numbers, 2, 3, and 5 are prime. Three out of the six numbers are prime, so the probability of landing on a prime number is 
.
If Marie rolls a die, the possible number that will appear are:
Of these numbers, 2, 3, and 5 are prime. Three out of the six numbers are prime, so the probability of landing on a prime number is
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A couple wants to have two children. If they have a 50% chance of having a boy and 50% chance of having a girl for each birth, what is the chance that they will eventually have one boy and one girl?
A couple wants to have two children. If they have a 50% chance of having a boy and 50% chance of having a girl for each birth, what is the chance that they will eventually have one boy and one girl?
If a couple has a 50% chance of having a boy and 50% chance of having a girl for each birth, below are the four possible outcomes of their children:
First a girl, then a boy.
First a girl, then another girl.
First a boy, then another boy.
First a boy, then a girl.
In 2 of these 4 scenarios, there will be one boy and one girl. Therefore, the chance of having one boy and one girls is 
.
If a couple has a 50% chance of having a boy and 50% chance of having a girl for each birth, below are the four possible outcomes of their children:
First a girl, then a boy.
First a girl, then another girl.
First a boy, then another boy.
First a boy, then a girl.
In 2 of these 4 scenarios, there will be one boy and one girl. Therefore, the chance of having one boy and one girls is
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Brett is taking a multiple choice test in which there are 3 answer choices. He blindly guesses on 2 of the problems. What is the chance that he guesses correctly on both?
Brett is taking a multiple choice test in which there are 3 answer choices. He blindly guesses on 2 of the problems. What is the chance that he guesses correctly on both?
If Brett blindly guesses on a multiple choice question with 3 answer choices, he has a 
chance of getting it correct.
If he guesses on 2 multiple choice questions with 3 answer choices each, then the probability of him getting them both correct is 
.
If Brett blindly guesses on a multiple choice question with 3 answer choices, he has a
If he guesses on 2 multiple choice questions with 3 answer choices each, then the probability of him getting them both correct is
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A jar contains 
candy bars, 
lollipops, and 
other types of sweets. What is the probability of drawing a lollipop at random from the jar?
A jar contains
Probability can be expressed as a fraction. The numerator represents the total number of what is being chosen and the denominator represents the total number of items that can be chosen. In this problem, there are 
lollipops and a total of 
pieces of candy. This is represented as the fraction: 
. This can be reduced to 
. The answer is 
.
Probability can be expressed as a fraction. The numerator represents the total number of what is being chosen and the denominator represents the total number of items that can be chosen. In this problem, there are
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Jacob has 
mechanical pencils, 
colored pencils, and 
erasers in his bag. What is the probability of him taking out a colored pencil at random from the bag?
Jacob has
Probability can be expressed as a fraction. The numerator represents the total number of what is being chosen and the denominator represents the total number of items that can be chosen. In this problem, there are 
colored pencils and a total of 
items. This is represented as the fraction: 
. This can be reduced to 
. The answer is 
.
Probability can be expressed as a fraction. The numerator represents the total number of what is being chosen and the denominator represents the total number of items that can be chosen. In this problem, there are
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A bag contains differently colored balls. In it are 
pink balls, 
red balls, and 
green balls. What is the probability of choosing a pink ball at random?
A bag contains differently colored balls. In it are
Probability can be expressed as a fraction. The numerator represents the total number of what is being chosen and the denominator represents the total number of items that can be chosen. In this problem, there are 
red balls and a total of 
balls in the bag. This is represented as the fraction: 
. This can be reduced to 
. The answer is 
.
Probability can be expressed as a fraction. The numerator represents the total number of what is being chosen and the denominator represents the total number of items that can be chosen. In this problem, there are
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If Justin rolls a six-sided die, what is the probability of it landing on an even number?
If Justin rolls a six-sided die, what is the probability of it landing on an even number?
Probability can be expressed as a fraction. The numerator represents the total number of what is being chosen and the denominator represents the total number of items that can be chosen. In this problem, there are 
even numbers and a total of 
numbers on the die. This is represented as the fraction: 
. This can be reduced to 
. The answer is 
.
Probability can be expressed as a fraction. The numerator represents the total number of what is being chosen and the denominator represents the total number of items that can be chosen. In this problem, there are
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A store has a bin of books on sale. In the bin, there are 
novels, 
comic books, 
reference books, and 
picture books. What is the probability that someone will choose a novel from the bin?
A store has a bin of books on sale. In the bin, there are
Probability can be expressed as a fraction. The numerator represents the total number of what is being chosen and the denominator represents the total number of items that can be chosen. In this problem, there are 
novels and a total of 
books. This is represented as the fraction: 
. This can be reduced to 
. The answer is 
.
Probability can be expressed as a fraction. The numerator represents the total number of what is being chosen and the denominator represents the total number of items that can be chosen. In this problem, there are
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In a washing machine, there are 
blankets, 
shirts, and 
pants. What is the probability of taking out a peice of clothing first?
In a washing machine, there are
Probability can be expressed as a fraction. The numerator represents the total number of what is being chosen and the denominator represents the total number of items that can be chosen. In this problem, there are 
pieces of clothing and a total of 
items in the washing machine. This is represented as the fraction: 
. This can be reduced to 
. The answer is 
.
Probability can be expressed as a fraction. The numerator represents the total number of what is being chosen and the denominator represents the total number of items that can be chosen. In this problem, there are
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A bag contains differently colored balls. In it are 
pink balls, 
red balls, and 
green balls. What is the probability of choosing a red ball at random?
A bag contains differently colored balls. In it are
Probability can be expressed as a fraction. The numerator represents the total number of what is being chosen and the denominator represents the total number of items that can be chosen. In this problem, there are 
red balls and a total of 
balls in the bag. This is represented as the fraction: 
. This can be reduced to 
. The answer is 
.
Probability can be expressed as a fraction. The numerator represents the total number of what is being chosen and the denominator represents the total number of items that can be chosen. In this problem, there are
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A game requires you to throw a ball at some randomly-arranged colored tiles in order to win a prize. There are 
white tiles, 
blue tiles, 
red tiles, and 
black tiles. What is the probability of hitting a black tile?
A game requires you to throw a ball at some randomly-arranged colored tiles in order to win a prize. There are
Probability can be expressed as a fraction. The numerator represents the total number of what is being chosen and the denominator represents the total number of items that can be chosen. In this problem, there are 
black tiles and a total of 
tiles. This is represented as the fraction: 
. This can be reduced to 
. The answer is 
.
Probability can be expressed as a fraction. The numerator represents the total number of what is being chosen and the denominator represents the total number of items that can be chosen. In this problem, there are
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Misha is choosing movies from a bin at a store. In the bin are 
action movies, 
comedies, 
documentaries, and 
other types of films. If she chooses randomly, what is the probability that Misha will pick out a comedy movie?
Misha is choosing movies from a bin at a store. In the bin are
Probability can be expressed as a fraction. The numerator represents the total number of what is being chosen and the denominator represents the total number of items that can be chosen. In this problem, there are 
comedy movies and a total of 
movies. This is represented as the fraction: 
. This can be reduced to 
. The answer is 
.
Probability can be expressed as a fraction. The numerator represents the total number of what is being chosen and the denominator represents the total number of items that can be chosen. In this problem, there are
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Jessica has a box of chocolates. 
have buttercream filling, 
have cherry filling, 
have raspberry filling, 
have coconut filling, and 
have no filling. What is the probability of Jessica choosing a chocolate with no filling?
Jessica has a box of chocolates.
Probability can be expressed as a fraction. The numerator represents the total number of what is being chosen and the denominator represents the total number of items that can be chosen. In this problem, there are 
chocolates with no filling and a total of 
chocolates. This is represented as the fraction: 
. This can be reduced to 
. The answer is 
.
Probability can be expressed as a fraction. The numerator represents the total number of what is being chosen and the denominator represents the total number of items that can be chosen. In this problem, there are
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There are 
marbles in a bag: 
are blue, 
are white, 
are yellow, and 
are green. What is the probability of choosing blue or green at random?
There are
Probability can be expressed as a fraction. The numerator represents the total number of what is being chosen and the denominator represents the total number of items that can be chosen. In this problem, there are 
blue and green marbles and a total of 
chocolates. This is represented as the fraction: 
. This can be reduced to 
. The answer is 
.
Probability can be expressed as a fraction. The numerator represents the total number of what is being chosen and the denominator represents the total number of items that can be chosen. In this problem, there are
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A group of kids are playing duck-duck-goose. In the circle sit 
third graders, 
fourth graders, and 
fifth graders. What is the probability that a third or fourth grader will be chosen?
A group of kids are playing duck-duck-goose. In the circle sit
Probability can be expressed as a fraction. The numerator represents the total number of what is being chosen and the denominator represents the total number of items that can be chosen. In this problem, there are 
third and fourth graders and a total of 
students. This is represented as the fraction: 
. This can be reduced to 
. The answer is 
.
Probability can be expressed as a fraction. The numerator represents the total number of what is being chosen and the denominator represents the total number of items that can be chosen. In this problem, there are
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Mr. Brown has 
red shirts, 
blue shirts, 
yellow shirts, and 
green shirts. If he selects a shirt randomly, what color shirt has a 
in 
chance of being chosen?
Mr. Brown has
Recall what a probability is:
Now, we have a total number of 
outcomes because that is the number of shirts Mr. Brown has to choose from.
We can then set up the following ratio:
Notice that you multiply 
by 
to get 
. The value for 
then should be 
. Out of all the shirts Mr. Brown has to choose from, the only color shirt that he has 
of is green.
Recall what a probability is:
Now, we have a total number of
We can then set up the following ratio:
Notice that you multiply
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