At a game booth, a student gets a box of candy as the prize for winning a game. The boxes come in four colors; white, red, green, and blue. There are 8 boxes of each color. All of the boxes are equally likely to be given away as prizes. Which expression shows the probability of the first winner receiving a white box and the second winner also receiving a box of the same color?

A: (8/32) • (8/31)

B: (8/32) + (8/31)

C: (8/32) + (7/31)

D: (8/32) + (7/31)

Question

Mathematics

Gillian Krause

2 August, 17:55

At a game booth, a student gets a box of candy as the prize for winning a game. The boxes come in four colors; white, red, green, and blue. There are 8 boxes of each color. All of the boxes are equally likely to be given away as prizes. Which expression shows the probability of the first winner receiving a white box and the second winner also receiving a box of the same color?

A: (8/32) • (8/31)

B: (8/32) + (8/31)

C: (8/32) + (7/31)

D: (8/32) + (7/31)

+3

Answers (1)

Know the Answer?

Alan · Answer 1

there is no correct answer,

the answer should be (8/32) • (7/31)

Step-by-step explanation:

P (first white box) = 8/32

P (second white box) = (8-1) / (32-1) = 7/31

so

P (both white box) = (8/32) X (7/31)