Question

A deck of cards has 5 pink, 2 gray, and 6 black cards. You pick 2 cards from the deck without replacement. What is the probability that the first card is gray and the second card is pink?

Answer 1

`(5)/(78)`

Explanation:

First, find the probability that the first card is gray.

Since there are 13 cards in total, and 2 are gray, the probability will be 2/13

Next, find the probability that the second card is pink.

Since there are now 12 cards in total (since there is no replacement), and 5 are pink, the probability is 5/12.

Now, to find the probability that these are drawn in order, multiply the probabilities together:

`(2)/(13)` x
`(5)/(12)`

=
`(5)/(78)`

So, the probability is
`(5)/(78)`

Answer 2

1/2 gray and 1/5 and the other one is a pretty good probability for the color