If two cards are drawn randomly from a pack of 52 playing cards, then the mean of the probability distribution of number of kings is

Step-by-step solution

Let X : number of king card So, P(X=0)= ⁴⁸ C₂ ⁵² C₂ , P(X=1)= ^4 C₁ ⁴⁸ C₁ ⁵² C₂ and P(X=2)= ^4 C₂ ⁵² C₂ Now, mean of probability distribution aligned & =0 ⁴⁸ C₂ ⁵² C₂ +1 ^4 C₁ ⁴⁸ C₁ ⁵² C₂ + 2 ^4 C₂ ⁵² C₂ & =0+ 4 48 2 52 51 + 2 4 3 2 2 52 51 & = 32 221 + 2 221 = 34 221 = 2 13 aligned