Q266 / 270 · NDA 2012 (Phase 2) · Mathematics

What is the most probably number of successes in 10 trials with probability of success $2 / 3$ ?

  • A
    10
  • Correct answer
    B
    7
  • C
    5
  • D
    4

Solution

$\begin{aligned} & p(r)={ }^n \mathrm{C}_r \cdot p^r \cdot q^{n-r} \\ & n=10, p=2 / 3, q=1 / 3\end{aligned}$

Hence, the correct answer is option: 'B'.

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