Question

A card is drawn at random from a deck of cards. What is the probability that

a. it is a heart, given that it is red?
b. it is higher than a 10, given that it is a heart? (Interpret J, Q, K, A as 11, 12, 13, 14)
c. it is a jack, given that it is red?

Answer 1

a. 13/26 = 1/2

b. 3/13

c. 2/26 = 1/13

Explanation:

A. 26 red cards and 13 of them are hearts so 13/26 which can be simplified to 1/2

B. 13 hearts but only jack, queen king are higher than 10 so 3/13

C. 26 red cards altogether and we have a total of 2 red jacks so 2/26 which can be simplified to 1/13

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