There are two decks of cards. Each deck has a red, a yellow, a blue, and a green card in it. If a card is drawn, from the first deck, and then a second card drawn from the second deck, what is the probability that a red card and green card are drawn (not necessarily in that order)? Round your answer to two decimal places.

Question

There are two decks of cards.  Each deck has a red, a yellow, a blue, and a green card in it.  If a card is drawn, from the first deck, and then a second card drawn from the second deck, what is the probability that a red card and green card are drawn (not necessarily in that order)?  Round your answer to two decimal places.

and

There are two decks of cards.  Each deck has a red, a yellow, a blue, and a green card in it.  If a card is drawn, from the first deck, and then a second card drawn from the second deck, what is the probability that a red card or green card is drawn (not necessarily in that order)?  Round your answer to two decimal places.

Scott · Answer

you can list the sample space by hand, only 16 outcomes (4 colors * 4 colors)

r/g or g/r are 2 of 16 possibilities ... .13

red and green make up half of the cards

the probability of drawing two cards with no red or green is ... 1/2 * 1/2

the compliment is ... 3/4 ... .75