Question

10. Two bags A and B contain 4 white and 3 black balls and 2 white and 2 black balls respe bag A, two balls are drawn at random and then transferred to bag B. A ball is the bag B and is found to be a black ball. What is the probability that the transferred balls and 1 black ? 11. Suppose that 5 men out of 100 and 25 women out of 1000 are good orators. An orato random. Find the probability that a male person is chosen. Assume that there are eq men and women

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Answer 1

The probability that the transferred balls include 1 black is 3/7.

Step-by-step explanation:

To calculate the probability that the transferred balls and 1 black, we need to consider the possible outcomes.

Case 1: The transferred balls are both black. There are 3 black balls in bag A and 2 black balls in bag B, so the probability is

(3/7) * (2/4) = 6/28.

Case 2: One transferred ball is black and the other is white. There are 3 black balls in bag A and 2 white balls in bag B, so the probability is

(3/7) * (2/4) = 6/28.

Adding the probabilities from Case 1 and Case 2, the probability that the transferred balls include 1 black is

6/28 + 6/28 = 12/28 = 3/7.