The probability of selecting a green marble at random from a jar that contains only green, white and yellow marbles is 14. The probability of selecting a white marble at random from the same jar is 13.1f this jar contains 10 yellow marbles, what is the total number of marbles in the jar?
The probability of selecting a green marble at random from a jar that contains only green, white and yellow marbles is 14. The probability of selecting a white marble at random from the same jar is 13.1f this jar contains 10 yellow marbles, what is the total number of marbles in the jar?
Assume that total number of marbles in the jar be x.
Given that number of yellow marbles in a jar = 10.
Given that probability of selecting a green marble = 
Also probability of selecting a white marble = 
We know that the total probability = 1.
Hence the probability of selecting a yellow marble = 1 – (Probability of selecting a white marble + Probability of selecting a green marble)
So the probability of selecting a yellow marble = 1 – (
) = 1 – (
) = 
--------(iii)
But the probability of selecting a yellow marble = Number of yellow marbles / Total number of marbles = 
.
∴ 
[ from (iii) ]
∴ x = 24.
Hence the total number of marbles = 24.
Assume that total number of marbles in the jar be x.
Given that number of yellow marbles in a jar = 10.
Given that probability of selecting a green marble =
Also probability of selecting a white marble =
We know that the total probability = 1.
Hence the probability of selecting a yellow marble = 1 – (Probability of selecting a white marble + Probability of selecting a green marble)
So the probability of selecting a yellow marble = 1 – () = 1 – () = --------(iii)
But the probability of selecting a yellow marble = Number of yellow marbles / Total number of marbles = .
∴ [ from (iii) ]
∴ x = 24.
Hence the total number of marbles = 24.
