Q. 324.1( 10 Votes )
The probability of selecting a green marble at random form a jar that contains only green, white and yellow marbles is 1/4. The probability of selecting a white marble at random form the same jar is 1/3. If this jar contains 10 yellow marbles. What is the total number of marbles in the jar?
Let the number of green marbles be x and the number of white marbles be y
Total number of possible outcomes, n(S) = x + y + 10
Probability of green marbles = 1/4
⇒ x + y + 10 = 4x
⇒ 3x – y – 10 = 0 -------------(i)
Probability of white marbles =
⇒ x – 2y + 10= 0 -------------(ii)
Solving eq. (i) and (ii), we get
x = 6 and y = 8
Thus, total number of marbles in the jar = x + y + 10 = 6 + 8 + 10 = 24
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