The urn contains 3 white and 7 black balls. What is the probability that 2 white balls

The urn contains 3 white and 7 black balls. What is the probability that 2 white balls are drawn at the same time, provided that two balls are drawn

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.

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

P (A) 1 = 3/10.

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

P (A) 1 = 2/9.

Let’s find the total probability of both events:

P (A) о = 3/10 * 2/9 = 6/9 = 0.66 – the probability that 2 white balls will be hit at the same time.

Answer: 0.66.