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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?

  • 1
    17/112
  • 2
    55/221
  • 3
    55/121
  • 4
    33/221
  • Show Answer
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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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