Question

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

2. $P\left(Y\right)=\frac{1}{2}$
Select the correct answer using the code given below.

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

Answer 1

The correct option is D Neither $1$ nor $2$

$S=0,1,\dots ,50$

$X=3,6,\dots ,48$

$Y=1,3,\dots ,49$

$\therefore P\left(X\right)=\frac{16}{51}$

$\therefore P\left(Y\right)=\frac{25}{51}$

Hence, the answer is neither 1 nor 2.