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Find the probability of drawing a diamond card in each of the two consecutive draws from a well shuffled pack of cards, if the card drawn is not replaced after the first draw
A) 1/16 B) 1/17 C) 1/18 D) 1/19
Let A be the event of drawing a diamond card in the first draw and B be the even of drawing a diamond card in the second draw. Then,
P(A)=13c1/13c1 =13/52=1/4
After drawing a diamond card in first draw 51 cards are left out of which 12 cards are diamond cards.
∴P(B/A)=Probability of drawing a diamond card in the second draw when a diamond card has already been drawn in first draw
?P(B/A)=12c1/51c1=4/17
Now, Required probability =P(A∩B)=P(A)P(B/A)=1/4 x 4/17=1/17
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