Suppose that you select 2 cards without replacement from a s

Suppose that you select 2 cards without replacement from a standard deck of 52 playing cards.

a.) If the first card that you select is a heart, what is the probability that the second card that you select is a queen?

Solution

a) Out of 52 cards :

a) Probability of 1st card is heart = 13/52

Question is on conditional probability: when we want to find Probability of second card queen (B) when first card

is a heart(A)

Probability of queen and a heart =1/51

So, Probability that second card queen (B) given first card = (Probability of queen and a heart)/(Probability of 1st card is heart)

=(1/51) / (13/52) = 52/51*13 =4/51

Suppose that you select 2 cards without replacement from a standard deck of 52 playing cards. a.) If the first card that you select is a heart, what is the prob

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