Q253 / 270 · NDA 2017 (Phase 2) · Mathematics

Let the sample space consist of non-negative integers up to $50, \mathrm{X}$ denote the numbers which are multiples of 3 and Y denote the odd numbers. Which of the following is/are correct? 1. $\mathrm{P}(\mathrm{X})=\frac{8}{25} 2$. $\mathrm{P}(\mathrm{Y})=\frac{1}{2}$ Select the correct answer using the code given below.

  • A
    $1$ only
  • B
    $2$ only
  • C
    Both $1$ and $2$
  • Correct answer
    D
    Neither $1$ nor $2$

Solution

Given $S=51$ (includes 0 ) x denotes the multiples of 3 upto 51 . $\mathrm{n}(\mathrm{x})=16$ y denotes the odd numbers upto 51 . $\begin{aligned} & \mathrm{n}(\mathrm{y})=25 \\ & \therefore \mathrm{P}(\mathrm{x})=\frac{16}{51}, \mathrm{P}(\mathrm{y})=\frac{25}{51}\end{aligned}$

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

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