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 10 boxes of each color. All 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? (1 point) Select one:
a. (10/40) * (9/39)
b. (10/40) * (10/39)
c. (10/40) + (9/39)
d. (10/40) + (10/39)
This is because there are 40 boxes in total. The chance of a white box being handed out is 10/40. If a white box is handed out as a prize, there are going to be 39 boxes left, but only 9 of those 39 boxes would be white.
Ideally, tree diagrams should be used to solve such problems.