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 6 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?

6 over 24 multiplied by 6 over 23

6 over 24 multiplied by 5 over 23

6 over 24 plus 5 over 23

6 over 24 plus 6 over 23

the reason this is the answer is because on the first pick there are 4 colors and each color has 6 boxes each

6*4=24

however after the first white box is taken there are only 23 boxes left in total leaving only 5 white boxes left since one white box was removed from the booth. so the new chance of picking a white box would be 5/23. the chance of picking two white boxes in a row would be calculated by multiplying the chance of picking the white box the first time and the new chance of picking the white box the second time. so the chance of picking two white boxes in a row would be 30/552 without simplifying. from there I think you can do the rest.

6/24 * 5/23

The first student has a 6/24 chance of picking a white box and with one white box gone there are only 5 white boxes and 23 boxes in total left. In probability you multiply the chances of each pick to get the total probability.