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 white marble at random from the same jar is 1/3. If this jar contain 10 yellow marbles.What is the total no. of marbles in that jar?
Answers
Answer:
Total Number of marbles = 24
Step-by-step explanation:
Let the total number of marbles in the jar = M
As per given condition,
Probabily to find green marble P(G) = number of green marble (G) / Total number of marbles.
∴ P(G) = 1/4 = G/M
∴ G = M/4 ..... (1)
Probabily to find green marble P(W) = number of White marble (W) / Total number of marbles.
∴ P(W) = 1/3 = W/M
∴ W = M/3 ..... (2)
Number of yellow marbles = Y = 10 .... (3)
As we know total number of marbles
M = G + W + Y
Substituting from equation 1, 2, and 3 , we get
∴M = (M/4) + (M/3) + 10
∴M = (3M + 4M)/12 + 10
∴M = (7/12) M + 10
∴ M - (7/12)M = 10
∴ (5/12)M = 10
∴ M = (10 × 12 ) ÷ 5
∴ M = 24
Total Number of marbles = 24
Answer:
24
Step-by-step explanation:
For explanation see the 3 attachments......
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