Question

a jar contains one red marble, three white marbles, four blue marbles and six green marbles. if you pick a marble at random, replace it, and pick another, what is the probability that the first marble is blue in the second marble is white?

Answer 1

The probability formula is defined as the possibility of an event to happen is equal to the ratio of the number of outcomes and the total number of outcomes.

From the options given

we can find out that

Red outcome = 1

white outcomes = 3

blue outcomes = 4

green outcomes =6

Total outcome =14

The probability that the first marble is blue can be obtained as follow

`P_{\text{blue}}=\frac{blue\text{ outcomes}}{\text{Total outcomes}}=(4)/(14)=(2)/(7)`

The probability that the second marble is white can be obtained as follow

`P_{\text{white}}=\frac{\text{white outcome}}{\text{Total outcomes}}=(3)/(14)`

Therefore, the probability will be

`(P_{\text{blue}}np_{\text{white}})=(2)/(7)*(3)/(14)=(3)/(49)`