Probability

Practice Questions

ISEE Middle Level Quantitative Reasoning › Probability

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1

Balls

The above diagram shows a set of balls. The odd-numbered balls are placed in Box A; the even-numbered balls, in Box B. Which is the greater quantity?

(a) The probability that a ball randomly drawn from Box A will be white.

(b) The probability that a ball randomly drawn from Box B will be white.

2

Balls

The above diagram shows a set of balls. The odd-numbered balls are placed in Box A; the even-numbered balls, in Box B. Which is the greater quantity?

(a) The probability that a ball randomly drawn from Box A will be white.

(b) The probability that a ball randomly drawn from Box B will be white.

3

Balls

The above diagram shows a set of balls. The odd-numbered balls are placed in Box A; the even-numbered balls, in Box B. Which is the greater quantity?

(a) The probability that a ball randomly drawn from Box A will be white.

(b) The probability that a ball randomly drawn from Box B will be white.

4

Dice

The six faces of a fair die are shown in the fold-out diagram above; this die and an identical one are tossed.

Which is the greater quantity?

(a) The probability that the sum of the numbers facing upward is even

(b) The probability that the sum of the numbers facing upward is odd

5

Two fair six-sided dice are thrown. What is the probability that the product is greater than or equal to 20?

6

Two standard decks of fifty-two cards, one with a yellow backing and one with a gray backing, are presented to you. The yellow deck has all of its aces removed; the gray deck is left complete. Which is the greater quantity?

(A) The probability that a card randomly drawn from the yellow deck is a six

(B) The probability that a card randomly drawn from the gray deck is a six

7

Sandy has two red dice; Tommy has one blue die. All three dice are fair.

Sandy rolls her red dice once and notes her sum. Tommy rolls his blue die twice and notes his sum.

Which is the greater quantity?

(a) The probability that Sandy will roll a seven or higher

(b) The probability that Tommy will roll a seven or higher

8

Two fair six-sided dice are thrown. What is the probability that the product is greater than or equal to 20?

9

Two standard decks of fifty-two cards, one with a yellow backing and one with a gray backing, are presented to you. The yellow deck has all of its aces removed; the gray deck is left complete. Which is the greater quantity?

(A) The probability that a card randomly drawn from the yellow deck is a six

(B) The probability that a card randomly drawn from the gray deck is a six

10

Two fair six-sided dice are thrown. What is the probability that the product is greater than or equal to

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