Question

A bag contains three white two blue and Five red marbles a single marble is pick from the back been put back into the bag and another marble is picked find P (white then red)

Answer 1

The bag contains 3 white marbles, 2 blue marbles, and 5 red marbles.

The probability of picking a white marble followed by a red marble with replacement is;

`Pr(W\&R)=Pr(W)* Pr(R)`

From the information given, we can deduce;

`\begin{gathered} Pr(W)=(3)/(10) \\ Pr(R)=(5)/(10) \end{gathered}`

Therefore, we have;

`Pr(W\&R)=(3)/(10)*(5)/(10)=(15)/(100)=(3)/(20)`

Therefore, the probability of picking a white ball followed by a red ball with replacement is 3/20.