Question

We have two urns. The first urn contains two balls labeled 1 and 2. The second urn contains three balls labeled 3, 4, and 5. We choose one of the two urns at random with equal probability and then sample one ball, uniformly at random, from the chosen urn. What is the probability that we picked the ball labeled 5

Answer 1

Answer:

1 over 7

Step-by-step explanation:

Answer 2

The probability of picking the urn with the number 5 in it is 1 out of 2, which is written as 1/2.

The probability if picking the number 5 out of that urn would be 1 out of 3 , written as 1/3.

The probability of both is found by multiplying the two probabilities together:

1/2 x 1/5 = 1/10 probability.