Question

A bag contains 2 red marbles, 2 green marbles, and 4 blue marbles. If we choose a marble, then another marble without putting the first one back in the bag, what is the probability that the first marble will be red and the second will be green?

Answer 1

1/14

Explanation:

Khan Academy

Answer 2

A bag contains 2+2+4=8 marbles in total.

We have to find the probability of the following events:

1. We have to choose a red marble from the bag that contains 8 marbles in total, 2 of them are red

2. We have to choose a green marble from the bag that contains 7 marbles in total, 2 of them are green.

The probability of the first event to happens is:

`P_1=(2)/(8)=(1)/(4)`

The probability of the second event to happen is:

`P_2=(2)/(7)`

The probability of both events to happen is:

`P=P_1\cdot P_2=(1)/(4)\cdot (2)/(7)=(1)/(14)=0.0714`