WBJEE · Maths · Probability
Cards are drawn one-by-one without replacement from a well shuffled pack of 52 cards. Then, the probability that a face card (jack, queen or king) will appear for the first time on the third turn is equal to
- A \(\frac{300}{2197}\)
- B \(\frac{36}{85}\)
- C \(\frac{12}{85}\)
- D \(\frac{4}{51}\)
Answer & Solution
Correct Answer
(C) \(\frac{12}{85}\)
Step-by-step Solution
Detailed explanation
Ist turn Total number of face card \(=12\) Total number of elements in sample space, \(n(s)=52\) \(\therefore P_{1}\) (no face card in first turn) \(=\frac{52-12}{52}=\frac{40}{52}\) IInd turn \(P_{2}\) (no face card in second turn) \[ =\frac{(52-13)}{(52-1)}=\frac{39}{51} \]…
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