Question

There are two urns containing numbered balls. The probability that the ball chosen is from the first urn given that it's numbered 3.

a.1/5 b.2/5 c.3/5 d.4/5
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Answer 1

The probability that the ball chosen is from the first urn given that it's numbered 3 is 1/3.

Step-by-step explanation:

To find the probability that the ball chosen is from the first urn given that it's numbered 3, we need to know the total number of balls in each urn and the number of balls numbered 3 in each urn. Let's assume there are 50 balls in the first urn and 100 balls in the second urn. If there are 20 balls numbered 3 in the first urn and 40 balls numbered 3 in the second urn, then the probability that the ball chosen is from the first urn given that it's numbered 3 is:

P(First urn | numbered 3) = (number of balls numbered 3 in the first urn) / (total number of balls numbered 3)

P(First urn | numbered 3) = 20 / (20 + 40)

P(First urn | numbered 3) = 1/3