JEE Mains · Maths · STD 12 - 13. probability
Fifteen football players of a club-team are given \(15\) T-shirts with their names written on the backside. If the players pick up the T-shirts randomly, then the probability that at least \(3\) players pick the correct \(T\)-shirt is
- A 0.21
- B 0.13
- C 0.17
- D 0.14
Answer & Solution
Correct Answer
(C) 0.17
Step-by-step Solution
Detailed explanation
Required probability \(=1-\frac{D_{(15)}+{ }^{15} C_1 \cdot D_{(14)}+{ }^{15} C_2 D_{(13)}}{15 !}\) Taking \(D _{(15)}\) as \(\frac{15 \text { ! }}{e}\) \(D _{(14)}\) as \(\frac{14 !}{e}\) \(D _{(13)}\) as \(\frac{13 !}{e}\) We get,…
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