5. There are two boxes. Box A contains 6 red balls and 4
blue balls and Box B contains 4 red
balls and 8 blue
balls. A die is rolled, if the number is
less than 3, a ball
is selected from box A. If the result
is 3 or more, a ball
is selected from Box B. Calculate:
a) The probability that the ball will be
red and selected from Box B.

2/9

Explanation:

Box A has 6 Red and 4 Blue balls - Probability of getting a Red is 4/10 = 2/5

Box B has 4 Red and 8 Blue balls - Probability of getting a Red is 4/12 = 1/3

You roll a dice, Probability of getting less than 3 is 2/6 = 1/3

Probability of getting 3 or more is 4/6 = 2/3

So, the Probability of picking from Box B is when you roll 3 or more which is 2/3, and the probability of getting red from Box B is 1/3.

Combining together, 2/3*1/3 = 2/9.

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