Question

One card is drawn from a standard 52-card deck and then replaced, and then a second

card is drawn. What is the probability that the first card is a red 8 and the second is a
black 10?

Answer 1

1/676




Step by step explain action

Answer 2

1/676

Explanation:

In a deck of cards there are 2 red 8's ( 8 of diamonds and 8 of hearts)

P( red 8) = number of red 8's/ total

= 2/52 = 1/26

Then we put the card back so there are still 52 cards

In a deck of cards there are 2 black 10's ( 10 of spades and 10 of clubs)

P( black) = number of black 10's/ total

= 2/52 = 1/26

Multiply the probabilities together

P( red 8, black 10) = 1/26 * 1/26 = 1 /676