Question

What is the probability of drawing two bluemarbles if the first marble is placed back inthe bag before the second draw?Give your answer as a rational number, reduced tosimplest terms.

Answer 1

Given the information in the attached image;

The number of blue marbles is 5.

The total number of marbles is 10.

So, the probability of drawing blue as the first marble is;

`P_1=(5)/(10)=(1)/(2)`

Also, since there is a replacement, the probability of drawing blue as the second marble is;

`P_2=(5)/(10)=(1)/(2)`

the probability of drawing two blue marbles will be;

`\begin{gathered} P=P_1* P_2 \\ P=(1)/(2)*(1)/(2) \\ P=(1)/(4) \end{gathered}`

Therefore, the probability of drawing two blue marbles is;

`(1)/(4)`