Common Core: 7th Grade Math : Develop and Compare Probability Models and Find Probabilities of Events: CCSS.Math.Content.7.SP.C.7

Example Questions

Example Question #1 : Develop And Compare Probability Models And Find Probabilities Of Events: Ccss.Math.Content.7.Sp.C.7

If John were to roll a die  times, roughly how many times would he roll a  or a

Explanation:

A die has  sides, with each side displaying a number between

Let's first determine the probability of rolling a  or a  after John rolls the die a single time.

There is a total of  sides on a die and we have one value of  and one value of ; thus, our probability is:

This means that roughly  of John's rolls will be a  or a ; therefore, in order to calculate the probability we can multiply  by —the number of times John rolls the die.

If John rolls a die  times, then he will roll a  or a  roughly  times.

Example Question #2 : Develop And Compare Probability Models And Find Probabilities Of Events: Ccss.Math.Content.7.Sp.C.7

If John were to roll a die  times, roughly how many times would he roll a

Explanation:

A die has  sides, with each side displaying a number between

Let's first determine the probability of rolling a  after John rolls the die a single time.

There is a total of  sides on a die and only one value of  on one side; thus, our probability is:

This means that roughly  of John's rolls will be a ; therefore, in order to calculate the probability we can multiply  by —the number of times John rolls the die.

If John rolls a die  times, then he will roll a  roughly  times.

Example Question #3 : Develop And Compare Probability Models And Find Probabilities Of Events: Ccss.Math.Content.7.Sp.C.7

If John were to roll a die  times, roughly how many times would he roll a

Explanation:

A die has  sides, with each side displaying a number between

Let's first determine the probability of rolling a  after John rolls the die a single time.

There is a total of  sides on a die and only one value of  on one side; thus, our probability is:

This means that roughly  of John's rolls will be a ; therefore, in order to calculate the probability we can multiply  by —the number of times John rolls the die.

If John rolls a die  times, then he will roll a  roughly  times.

Example Question #4 : Develop And Compare Probability Models And Find Probabilities Of Events: Ccss.Math.Content.7.Sp.C.7

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)?

Explanation:

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 #1 : Probability

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

Explanation:

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 #1 : Develop And Compare Probability Models And Find Probabilities Of Events: Ccss.Math.Content.7.Sp.C.7

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

Explanation:

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 #1 : Probability

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

Explanation:

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

Example Question #1 : Probability

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

Explanation:

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 #1 : How To Find The Probability Of An Outcome

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?

Explanation:

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 #1 : Outcomes

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