The urn contains 2 white, 3 red, 16 black balls. What is the probability that out of two balls

The urn contains 2 white, 3 red, 16 black balls. What is the probability that out of two balls taken out of it at random, one will turn out to be white and the other red?

Let’s write the formula for finding the probability:

P (A) = m / n

Where

m is the number of favorable outcomes,

n is the total number of all possible events.

Total balls in the urn:

2 + 3 + 16 = 21.

Since the balls are taken out twice, then to find the probability of two events, they must be multiplied among themselves:

P (A) 1 = 2/21.

But in the second case, the number of white or red balls and the total number of all balls will be one less, therefore:

P (A) 1 = 3/20.

Let’s find the total probability of both events:

P (A) о = 2/21 * 3/20 = 6/420 = 6/420 = 1/70 – the probability that 2 white balls will be hit at the same time.

Answer: 1/70.