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 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?

8 over 32 multiplied by 8 over 31
8 over 32 plus 8 over 31
8 over 32 plus 7 over 31
8 over 32 multiplied by 7 over 31

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 8 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?

8 over 32 multiplied by 8 over 31
 8 over 32 plus 8 over 31
 8 over 32 plus 7 over 31
 8 over 32 multiplied by 7 over 31

Angle · Answer

Hi @Sami0627 welcome to QuestionCove!

In this problem, because it is a combined probability (that is, a past event affects a future event) we want a probability that is multiplication

Angle · Answer

That helps us narrow down our options to A or D

now, if we pick a box out of 32 and don't put it back - that means the next person is picking from 31 total boxes

Angle · Answer

also, if the first winner picks 1 out of the 8 (some colored) box and does not put it back, then that means the next person only has 7 boxes of that SAME color to pick from

Angle · Answer

let me know if you're still stuck @Sami0627

Sami0627 · Answer

I think I figured it out now I think the answer is D. thank you so much for your help! :)

Angle · Answer

yup D is correct!  :)

Sami0627 · Answer

yay thank you so much for your help