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)

Question

asked Dec 21, 2023 224k views

1 Answer

Jason Malinowski · Answer 1 · 2023-12-26T04:18:01+0000

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.