Arithmetic Ability
 Probability

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Q.

Two cards are drawn at random from a well - shuffled pack of 52 cards. what is the probability that either both are red or both are queens?

View Answer

Correct choice: B

Explanation:

n(S) = C252 = 1326 Let A = event of getting both red cards and B = event of getting both queens then (A∩B) = event of getting two red queens n(A) = C226 = 325, n(B) = C24 = 6 n(A∩B)=C22=1 ∴ P(A)=325/1326, P(B) = 6/1326 P(A∩B)=1/1326 ∴ P ( both red or both queens) = P(A∪B) = P(A)+P(B)−P(A∩B)= 325/1326+1/221−1/1326=55/221
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