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

`(3)/(10)`

If the marbles are picked with replacement

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

`(3)/(8)`

If 100 there is 100 draw

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

`E(X)=(3)/(10)*100`

Simplify the equation

`\begin{gathered} E(X)=3*10 \\ E(X)=30 \end{gathered}`

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