The probability of drawing two white cards without replacement is 14/95, and the probability of drawing one white card is 2/5. W hat 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
2 answers:
Answer:
answer is b. 7/19
Step-by-step 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, <u> answer is b. 7/19 </u>
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