The probability of selecting a green marble at random from a jar that contains only green, white and yellow marbles is 1/4. The probability of selecting a white marble at random from the same jar is 1/3. If this jar contains 10 yellow marbles. What is the total number of marbles in the jar?

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Solution

GIVEN: A bag contains green, white and yellow marbles.

(i) Probability of selecting green marbles =

(ii) Probability of selecting white marbles =

(iii) The jar contains 10 yellow marbles.

TO FIND: Total number of marbles in the same jar

We know that sum of probabilities of all elementary events is 1.

Hence,

We know that PROBABILITY =

Hence

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