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?10 over 40 multiplied by 9 over 39

Question

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?10 over 40 multiplied by 9 over 39

10 over 40 multiplied by 10 over 39

10 over 40 plus 9 over 39

10 over 40 plus 10 over 39

Answer 1

The correct expression is: 10 over 40 multiplied by 9 over 39

This is because to calculate the probability of two independent events both happening, you multiply the probabilities of each event occurring individually. In this case, the first winner receiving a white box has a probability of 10/40 and the second winner also receiving a white box (since there are only 9 white boxes left and now 39 boxes in total) has a probability of 9/39.