Suppose we have four boxes A,B,C and D containing coloured marbles as given in image.One of the boxes has been selected at random and a single marble is drawn from it. If the marble is red, what is the probability that it was drawn from box A?, box B?, box C?
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Answer:
1/15
2/5
8/15
Step-by-step explanation:
Total Red = 15
Total White = 15
Total Black = 10
Total Marble = 40
Probability of Selecting Red Marble = 15/40 = 3/8
Probability of Selecting Red from A = (1/4) * (1/10) = 1/40
probability that it was drawn from box A = (1/40)/(3/8)
= 1/15
Probability of Selecting Red from B = (1/4) * (6/10) = 3/20
probability that it was drawn from box B = (3/20)/(3/8)
= 2/5
Probability of Selecting Red from C = (1/4) * (8/10) = 1/5
probability that it was drawn from box C = (1/5)/(3/8)
= 8/15
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