you draw two cards from a standard deck of 52 cards, but before you draw the second card, you put the first one back and reshuffle the deck.

Question

a) are the outcomes on the two cards independent? why?
b) find P(3 on 1st card and 10 on 2nd)
c) find P(10 on 1st card and 3 on 2nd)
d) find the probability of drawing a 10 and a 3 in either order.

Answer 1

a) Yes, because of replacement, the probabilities do not change for the second card.

b, c) probability of both events occurring is found by multiplying the probability of the individual events.

d) probability of either-or events occurring is found by adding the probability of the individual events.

Answer 2

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