Question

1. Suppose you draw two cards from a deck of 52 cards without replacement.

a. What’s the probability that the ﬁrst draw is a heart and the second draw is not a heart?

b. What’s the probability that exactly one of the cards are hearts?

c. If you draw two cards with replacement, what’s the
probability that none of the cards are hearts?

Answer #1

**1a)** Total 52 cards out of which 13 cards of
heart cards, so 39 cards are of no hearts.

P(1st heart, 2nd not heart) =

This is without replacement that's why in the second card turn total number of cards is 51.

**1b)** P(exactly one card is hearts) = P(1st card
is heart) + P(2nd card is heart)

**1c)** This is with replacement.

P(none of the cards are hearts) = P(both not hearts) =

Please comment if any doubt. Thank you.

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