Two cards are drawn successively with replacement from a well-shuffled deck of 52 cards. Let X denote the…

Two cards are drawn successively with replacement from a well-shuffled deck of 52 cards. Let X denote the random variable of number of aces obtained in the two drawn cards. Then PX=1+PX=2 equals:
  1. 24169
  2. 52169
  3. 49169
  4. 25169

Solution

Using the concept of complementary events,

Px=1+Px=2=1-Px=0

=1-4852×4852

=1-144169=25169

Asked in: MHT CET Full Test 7

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