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.

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

John has a standard deck of 53 cards, which includes the joker. Mary has two decks of 52 cards, shuffled together without their jokers. John and Mary each select a card at random from their decks. Which is the greater quantity?

(a) The probability that John will draw a diamond

(b) The probability that Mary will draw a diamond

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

A pair of fair six-sided dice are thrown, and the sum of the numbers facing upward is noted. Which is the greater quantity?

(a) The probability that the sum will be even

(b)

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

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

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

A box contains fifteen blue marbles, ten green marbles, twenty red marbles, and twenty-five white marbles, and no other marbles. What are the odds against a marble randomly drawn from this box being blue or green?

Using the information given in each question, compare the quantity in Column A to the quantity in Column B.

A pair of regular dice (with sides numbered from 1-6) is thrown.

Column A Column B

the odds of the odds of

rolling a total of 8 rolling a total of 7