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Suppose we have four boxes A,B,C and D c...

Suppose we have four boxes A,B,C and D containing coloured marbles as given below :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?

Text Solution

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Probablity of selecting red ball from Box A,`P(R/A) = 1/10`
Probablity of selecting red ball from Box B,`P(R/B) = 6/10 =3/5`
Probablity of selecting red ball from Box C,`P(R/C) = 8/10 =4/5`
Probablity of selecting red ball from Box D,`P(R/D) = 0/10 =0`
Probablity of selected red ball is from Box A, `P(A/R)` can be given by,
`P(A/R) = (P(R/A))/(P(R/A)+P(R/B)+P(R/C)+P(R/D))`
`=(1/10)/(1/10+3/5+4/5) = 1/15`
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