Question

Suppose we have two urns, urn 1 and urn 2. urn 1 contains 11 red marbles and 5 white marbles. urn 2 contains 7 red marbles and 13 white marbles. the experiment consists of first choosing an urn with equally likely probability, and then drawing a marble from that urn. what is the probability of choosing urn 1 and a white marble?

Answer 1

Hello!

To find the probability of two events, you need to multiply the probability of all the events that make the compound event. In this case, we need to multiply the probability of selecting urn 1 and selecting a white marble from urn 1.

First, we have two urns, so we have a 1/2 chance of selecting urn 1.

Next, we have 16 total marbles in urn 1. If we have 5 white marbles, this gives us 5/16.

Finally, we multiply the probabilities. 1/2(5/16)=5/32.


Our final probability is 5/32, or about 16%.

I hope this helps!