Question

Suppose you draw a card, put it back in the deck, and draw another one. What is the probability that the first card is a two and the second is a three? (Enter your probability as a fraction.) P =

Answer 1

0.006

Explanation:

This is joint probability and thus the probability of the given event is the product of:

(probability of drawing a 2 on the first draw)*(prob. of dring a 3 on the second draw), or

4 4 16

----- * ------ = ------------ = 0.006

52 52 (52)^2

Answer 2

1/169

Explanation:

if you mean a deck as in the 52 cards then the answer is the following.

there are 4 cards in a deck with the number 2 on it. 2 of spades, diamonds, hearts and clubs. so the probability would be 4/42 because there is 4 out of the 52 cards there are. next there is also 4 cards with three on it, so 4/52 again.you multiply these two to get the answer(but before you do i would recommend to simplify it to 1/13) to get 1/169