Question

A restaurant has two favourite dishes. What is the probability that both the dishes will be liked by people?

• A. $\frac{1}{648}$
• B. $\frac{25}{650}$
• C. $\frac{25}{648}$
• D. $\frac{5}{648}$

Answer 1

The correct option is C $\frac{25}{648}$


Probability of people liking Dish 1 is

${\text{P}}_1=\frac{125}{900}$

Probability of people liking Dish 2 is

${\text{P}}_2=\frac{250}{900}$

Probability of being both the dishes like by people is:

$\text{P}={\text{P}}_1\times {\text{P}}_2=\frac{125}{900}\times \frac{250}{900}$

$=\frac{25}{648}$