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Questions  >>  CBSE XII  >>  Math  >>  Probability
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Q)

From a group of 7 men and 4 ladies, a committee o 6 persons is formed. What is the probability that the committee will consist exactly of 2 ladies ?


$(A)\; \frac{4}{11}$
$(B)\; \frac{7}{11}$
$(C)\; \frac{5}{11}$
$(D)\; \frac{3}{11}$

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A)
$n(S) = 11C_6$
$n(E)$ = No. of selection of 4 men and 2 ladies.
$\; \; \;\; \; =7C_4 . 4C_2$
Hence the required probability is
$P(E) = \frac{7 C_4 . 4C_2}{11C_6} = \frac{5}{11}$
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