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Question: A card is drawn at random from a pack of 52 cards. The probability of drawing a card which is neithe...

A card is drawn at random from a pack of 52 cards. The probability of drawing a card which is neither a heart nor a king is

A

9/13

B

4/13

C

10/13

D

None of these

Answer

9/13

Explanation

Solution

Required probability = 1 – P(heart or king)

= 1 – (P(H) + P(K) – P(H ∩K)

= 1 - (1352+452−152)=3652=913\left( \frac { 13 } { 52 } + \frac { 4 } { 52 } - \frac { 1 } { 52 } \right) = \frac { 36 } { 52 } = \frac { 9 } { 13 }