Question

The probability of drawing a pinkmarble from a bag containingthese marbles is310If you replace the marble each time,predict how many times a pink marblewill be chosen out of 100 draws.

Answer 1

From the question,

The probability of picking a pink marble is

$\frac{3}{10}$

If the marbles are picked with replacement

This implies that the probability of picking a pink marble will remain

$\frac{3}{8}$

If 100 there is 100 draw

Then the expected number of times the pink marble will be picked is

$E(X)=\frac{3}{10}\times100$

Simplify the equation

$\begin{gathered} E(X)=3\times10 \\ E(X)=30 \end{gathered}$

Therefore, the expected number of time the pink marble will be picked is 30