The probability of selecting a green marble at random from a jar that contains only green, white and yellow marbles is begin mathsize 12px style 1 fourth end style The probability of selecting a white marble at random from the same jar is begin mathsize 12px style 1 third end style. If this jar contains 10 yellow marbles, what is the total number of marbles in the jar?

Asked by Topperlearning User | 9th Nov, 2017, 02:13: PM

Expert Answer:

begin mathsize 12px style Total space number space of space marbles space in space the space jar space be space straight y
According space to space the space question space yellow space marbles space equals space 10
Probability space of space green space marble space equals space 1 fourth
Probability space of space white space marble space equals space 1 third
Probability space of space yellow space marble space equals space 1 space minus space Probability space of space white space marble
equals space 1 space minus space 1 fourth space minus space 1 third
equals space 5 over 12
Probability space of space yellow space marble space equals space fraction numerator number space of space yellow space marbles over denominator Total space number space of space marbles end fraction
5 over 12 equals 10 over straight x
5 straight x space equals space 120
straight x space equals space 24
Total space number space of space marbles space equals space 24 end style

Answered by  | 9th Nov, 2017, 04:13: PM