Probability 3 Question 46
46. $P(X>Y)$ is
(a) $\frac{1}{4}$
(b) $\frac{5}{12}$
(c) $\frac{1}{2}$
(d) $\frac{7}{12}$
Show Answer
Answer:
Correct Answer: 46. 6
Solution:
- Here, $P(X>Y)=P\left(T _1\right.$ win $) P\left(T _1\right.$ win $)$
$$ \begin{aligned} & +P\left(T _1 \text { win }\right) P(\text { draw })+P(\text { draw }) P\left(T _1 \text { win }\right) \\ = & \frac{1}{2} \times \frac{1}{2}+\frac{1}{2} \times \frac{1}{6}+\frac{1}{6} \times \frac{1}{2}=\frac{5}{12} \end{aligned} $$
