Probability Question 63
Question: A cricket team has 15 members, of whom only 5 can bowl. If the names of the 15 members are put into a hat and 11 drawn at random, then the chance of obtaining an eleven containing at least 3 bowlers is
Options:
A) $ \frac{7}{13} $
B) $ \frac{11}{15} $
C) $ \frac{12}{13} $
D) None of these
Show Answer
Answer:
Correct Answer: C
Solution:
Required probability $ =\frac{{}^{5}C_3\times {}^{10}C_8}{{}^{15}C_{11}}+\frac{{}^{5}C_4\times {}^{10}C_7}{{}^{15}C_{11}}+\frac{{}^{5}C_5\times {}^{10}C_6}{{}^{15}C_{11}}=\frac{12}{13} $ .
BETA
