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MHT CET20228 Aug 2022Evening ShiftMathematicsProbabilityActual

Two cards are drawn successively with replacement from a well shuffled pack of 52 cards. Then the probability distribution of number of kings is

Correct answer

2

Step-by-step solution

here n=2, p= 4 52 = 1 13 q= 48 52 = 12 13 Now P(x=0)= ^2 C₀ ( 1 13 )^0 ( 12 13 )^2= 144 169 aligned & P(x=1)= ^2 C₁ ( 1 13 )^1 ( 12 13 )^1= 24 169 & P(x=2)= ^2 C₂ ( 1 13 )^2 ( 12 13 )^0= 1 169 aligned Hence, option (C) is correct

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