Question

The probability of drawing two white cards without replacement is 14/95, and the probability of drawing one white card is 2/5. What is the probability of drawing a second white card, given that the first card is white?

a. 52/95
b. 7/19
c. 7/38
d. 28/475

Answer 1

A would be the answer

Answer 2

answer is b. 7/19

Explanation:

A: event of drawing first white card

P(A)= 2/5

B/A: event of drawing second white card given first white card has been drawn

we have to find P(B/A)

A∩B: event of drawing two white cards without replacement

P(A∩B)=14/95

baye's theorem says that

P(A∩B)=P(A)×P(B/A)

14/95=P(B/A)×2/5

⇒P(B/A)=7/19

hence, answer is b. 7/19