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 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?

Answer 1

answer choices

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

Answer 2

There are 6 boxes of each color.
There are 4 colors - white, red, green, and blue

How many boxes are there in total?

Hint: 6 * 4 = ??

Answer 3

We want to find the probability that the first winner receives a white box and that the second winner also receives a white box.

Probability of A and B = Probability of A times Probability of B

another way to write that would be

P(A and B) = P(A) * P(B)

What is the probability that the first winner receives a white box?
There's 6 white boxes.
And how many boxes are there total?

So what's the probability?

And now, what's the probability that the second winner ALSO receives a white box?
Remember, there is one less box now because the first person took a white box.
So how many white boxes are there now?
And how many total boxes are there now?

That's the probability that the second person gets a white box

Answer 4

Finally, to find the probability that the first person gets a white box AND that the second person gets a white box

Just multiply those two probabilities

Answer 5

@bill533