Question

There are four balls in a bag white,red,green,and blue is drawn out at random three time in succession, which is the chance that all the three would be white? (Assuming that the ball is replaced after each drawing.) ​

Answer 1

Answer:   1/64

Step-by-step explanation:

Since there are 4 balls : white ,green ,red ,blue

and balls are replaced after each draw hence total number of ball remains same

now the probability of drawing white ball first time = 1/4

it is again replace hence all ball becomes same as initially

thus probability  of drawing white ball second time = 1/4

similarly probability of drawing white ball third time = 1/4

thus overall probability of drawing 3 white ball consecutively = (1/4).(1/4).(1/4) = 1/64   Ans.