Question

A bag contains 1 red, 1 yellow, 1 blue, and 1 green marble. What is the probability of choosing a green marble, notreplacing it, and then choosing a red marble?161201/2Mark this and returnSave and ExitNextSubmit

Answer 1

Total outcome is 1 red, 1 yellow, 1 blue, and 1 green = 4 marbles

Probability of picking green marble is

`Pr(green)=(1)/(4)`

When the green marble is not replaced, we have the total outcome as 3 marbles remaining

Probability of picking red becoms

`Pr(red)=(1)/(3)`

Probability of picking green not replacing and red becomes

`\begin{gathered} Pr(green\text{ and red\rparen = }(1)/(4)*(1)/(3) \\ =(1)/(12) \end{gathered}`

Hence the answer is

`(1)/(12)`