### All ISEE Middle Level Math Resources

## Example Questions

### Example Question #1 : Probability

There are 32 marbles in a bag: 7 are Red, 11 are Blue, 8 are Purple and 6 are Green. If I pick one marble out of the bag, which color would it most likely be?

**Possible Answers:**

**Correct answer:**

Find the color with the largest number of marbles in the bag.

Answer: There are more blue marbles in the bag, therefore it would be more likely to pick a blue marble.

### Example Question #2 : Probability

The red queens are removed from a standard deck of fifty-two cards. What is the probability that a card randomly drawn from that modified deck will be a face card (jack, queen, king)?

**Possible Answers:**

**Correct answer:**

There are four cards of each rank in a standard deck; since three ranks - jacks, queens, kings - are considered face cards, this makes twelve face cards out of the fifty-two. But two of those face cards - two red queens - have been removed, so now there are ten face cards out of fifty. This makes the probability of a randomly drawn card being a face card

.

### Example Question #3 : Probability

Jamie rolled a normal 6-sided die. What is the probability of rolling a number greater than 4?

**Possible Answers:**

**Correct answer:**

Probability is determined by dividing the number of incidences of a specific outcome (in this case rolling greater than 4, or rolling a 5 or 6) by the total number of outcomes (there are 6 sides to the die).

### Example Question #4 : Probability

What is the probability of drawing a diamond from a regular set of playing cards?

**Possible Answers:**

**Correct answer:**

Probability is determined by dividing the number of outcomes of a particular event by the total number of events. In a regular deck of playing cards, there are 52 cards and 13 diamonds.

### Example Question #5 : Probability

What is the probability of drawing a red jack from a standard deck of playing cards?

**Possible Answers:**

**Correct answer:**

A standard deck contains cards including jacks, of which are red. Therefore, the probability is:

### Example Question #6 : Probability

There are 5 yellow pebbles, 12 orange pebbles, and 8 red pebbles. What is the probability of picking a red or yellow pebble?

**Possible Answers:**

**Correct answer:**

There are 13 yellow and red pebbles. There are 25 pebbles total. Therefor the probability of choosing a red or yellow pebble is .

### Example Question #7 : Probability

There are 6 red marbles, 4 purple marbles, and 9 green marbles in a bag. What is the probablility of randomly drawing a green marble?

**Possible Answers:**

**Correct answer:**

First we need to determine the total number of marbles in the bag:

There are 9 green marbles, so the probability of drawing one of those 9 marbles out of 19 possible marbles is .

### Example Question #8 : Probability

A bag contains red marbles, pink marbles, and purple marbles. What is the probability of not choosing a purple marble?

**Possible Answers:**

**Correct answer:**

The probability (p) is equal to the number of a specific event (purple marbles) divided by the total number of events. The probability of NOT p (called q) is equal to In this example:

### Example Question #9 : Probability

A bag of marbles contains 8 black marbles, 4 red marbles, 3 blue marbles, and 5 white marbles. What is the probability of not drawing a black marble?

**Possible Answers:**

**Correct answer:**

Probability is determined by dividing the possible number of instances of a particular outcome by the total number of possible outcomes. Therefore, we need to find the probability of drawing red, blue, or white divided by the total number of outcomes.

### Example Question #10 : Probability

If you meet a random person on the street, what is the probability he or she was born on a weekend?

**Possible Answers:**

**Correct answer:**

There are seven days in a week.

The probability that a person you meet was born on any particular day is .

The question asks for the probability that the person you meet was born on a weekend (Saturday or Sunday). Therefore, we must add the probability of being born on either day: