Box 1 contains 3 red balls, 5 green balls and 2 white balls. Box 2 contains...

Box 1 contains 3 red balls, 5 green balls and 2 white balls. Box 2 contains 5 red balls, 3 green balls and 1 white ball. One ball of unknown color is transferred from Box 1 to Box 2. (a) What is the probability that a ball drawn at random from Box 2 is green? (b) What is the probability that a ball drawn from Box 1 is not white?

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Expert Solution

Box 1 contains 3 R, 5 G and 2 W

Box 2 contains 5 R, 3 G and 1 W

Let the color of the ball transferred from Box 1 to Box 2 be .

a)The following probabilities are known,

Let the probability of drawing a green ball from Box 2 be represented as .

The following conditional probabilities are known,

Using total probability theorem,

b)Let the probability of drawing a White ball from Box 1 (after transfer) be represented as .

The following conditional probabilities are known,

Using total probability theorem,

The complement (probability of not drawing a White from Box 1) is

milcah answered 7 months ago

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