TS EAMCET · Maths · Probability
Two cards are drawn at random one after the other with replacement from a pack of playing cards. If X is the random variable denoting the number of ace cards drawn, then the mean of the probability distribution of X is
- A 2
- B \(\frac{2}{13}\)
- C 1
- D \(\frac{1}{13}\)
Answer & Solution
Correct Answer
(B) \(\frac{2}{13}\)
Step-by-step Solution
Detailed explanation
Total cards = 52 Total aces = 4 \begin{array}{|c|c|c|c|}\hline X & 0 & 1 & 2 \\\hline P(XI) & \frac{{ }^4 C_0 \times{ }^{48} C_2}{{ }^{32} C_2} & \frac{{ }^4 C_3 x^{83} C_1}{{ }^{52} C_2} & \frac{{ }^4 C_2 \times{ }^{48} C_0}{{ }^{52} C_2} \\\hline\end{array} Mean…
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