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Q.

From a pack of cards, 2 cards are chosen at random. The probability of the event of having one card as 10 which is not hearts and another a heart card is

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21% of IItians & 23% of AIIMS delhi doctors are from Sri Chaitanya institute !!

An Intiative by Sri Chaitanya

a

$\frac{1}{35}$

b

$\frac{8}{663}$

c

$\frac{1}{34}$

d

$\frac{1}{102}$

answer is A.

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Detailed Solution

$n (S) = {}^{52}C_{2} = \frac{52 \times 51}{2} = 26 \times 51$

$n (E) = {}^{3}C_{1} \times {}^{13}C_{1} = 3 \times 13$

$\Rightarrow P (E) = \frac{3 \times 13}{26 \times 51} = \frac{1}{34}$

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