Question

The probability of getting a rotten egg from a lot of $400$ eggs is $0.035$. Find the number of rotten eggs in the lost.

Answer 1

Finding total numbers of rotten eggs.

Let $\text{P}\left(\text{E}\right)$ be the probability of getting a rotten egg and $x$ be the number of rotten eggs.

According to the question

Total number of eggs$=400$

And probability of getting a rotten egg from a lot of $400$ eggs $\text{i.e P}\left(\text{E}\right)$$=$$0.035$

We know that We know that $\text{P}\left(\text{E}\right)\text{=}\frac{\text{Number of favourable outcomes}}{\text{Number of possible outcomes}}$

So, $\text{P}\left(\text{E}\right)$$=\frac{x}{400}$

$\Rightarrow 0.035$$=\frac{x}{400}$

$\Rightarrow 0.035\times 400=x$

$\Rightarrow \mathbf{14}\mathbf{=}\mathit{x}$

Hence, number of rotten eggs$=\mathbf{14}$