Question

Two urns contain white balls and yellow balls. The first urn contains 7 white balls and 7 yellow balls and the second urn contains 3 white balls and 6 yellow balls. A ball is drawn at random from each urn. What is the probability that both balls are white?

Answer 1

To find the probability that both balls are white you will find the probability of getting a while ball from each situation separately and then multiply these probabilities together.

1.  7/14 or 1/2 chance
2.  3/9 or 1/3 change

1/2 x 1/3 = 1/6

You will have a 1 in 6 chance of getting a white ball from both urns.

Answer 2

The probability that both balls are white is 1/6.

What is the probability of an event?

The probability of any event is the ratio of the number of favorable outcomes to that event to the total number of outcomes in the experiment.

How to solve the question?

In the question, we are informed that two urns contain white balls and yellow balls. The first urn contains 7 white balls and 7 yellow balls and the second urn contains 3 white balls and 6 yellow balls.

We are asked that when one ball at random is drawn from each urn, what will be the probability that both balls are white.

We first calculate the individual probability of drawing a white ball from each urn:-

For the first urn:

The number of white balls = 7.

The, total number of balls = 7 + 7 = 14.

Thus, the probability of drawing a white ball = 7/14 = 1/2.

For the second urn:

The number of white balls = 3.

The, total number of balls = 3 + 6 = 9.

Thus, the probability of drawing a white ball = 3/9 = 1/3.

To find the probability that both balls are white, we multiply individual probabilities.

Thus, the probability that both drawn balls are white = (1/2)*(1/3) = 1/6.

Thus, the probability that both balls are white is 1/6.

Learn more about the probability of an event at

https://brainly.com/question/12783373

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