Frequencies

Practice Questions

SSAT Upper Level Quantitative (Math) › Frequencies

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1

Three fair six-sided dice are rolled, and the numbers are added. What is the probability that the sum will be 16 or greater?

2

In a small school, ninth grade comprises 50 students, including 18 boys. Each student is assigned to one of two home rooms - those of Mr. Jones and Mrs. Wilson. The boys and the girls are both divided evenly between the home rooms.

According to the charter, two of the student council representatives from the ninth grade will be selected by choosing one at random from each home room. What are the odds of one boy and one girl being selected?

3

In a small school, ninth grade comprises 50 students, including 18 boys. Each student is assigned to one of two home rooms - those of Mr. Jones and Mrs. Wilson. The boys and the girls are both divided evenly between the home rooms.

According to the charter, two of the student council representatives from the ninth grade will be selected by choosing one at random from each home room. What are the odds of one boy and one girl being selected?

4

Three fair six-sided dice are rolled, and the numbers are added. What is the probability that the sum will be 16 or greater?

5

The aces, jacks, kings, and queens are removed from a red-backed deck of standard playing cards; the same is done with a blue-backed deck. One card is removed at random from each deck; the numbers are multiplied together. What are the odds of the product being odd?

6

The aces, jacks, kings, and queens are removed from a red-backed deck of standard playing cards; the same is done with a blue-backed deck. One card is removed at random from each deck; the numbers are multiplied together. What are the odds of the product being odd?

7

Three fair six-sided dice are rolled, and the numbers are multiplied. What are the odds against rolling an odd product?

8

In a small school, ninth grade comprises 54 students, including 22 boys. Each student is assigned to one of two home rooms - those of Mr. Brooks and Mrs. Kelly. The boys and the girls are both divided evenly between the home rooms.

According to the charter, two of the student council representatives from the ninth grade will be selected by choosing one at random from each home room. What is the probability that both representatives selected will be girls?

9

If Bob rolled 3 fair six sided dice, what is the probability of NOT rolling a sum of 3?

10

Three fair six-sided dice are rolled, and the numbers are multiplied. What are the odds against rolling an odd product?

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