Join ExamsbookAnswer : 2. "55/221"
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?5
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?
- 117/112false
- 255/221true
- 355/121false
- 433/221false
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Answer : 2. "55/221"
Explanation :
Answer: B) 55/221 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 ∴ PA=3251326, PB = 61326 PA∩B=11326 ∴P ( both red or both queens) = PA∪B = PA+PB-PA∩B=3251326+1221-11326=55221
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