1.An urn contains 10 black and 5 white balls. A die is rolled and that many balls are removed. Find P (all removed balls are white | die landed on 3)

2.A box contains 1 fruit coin and 2 weighted coins such that P (weighted flip = heads) = 0.75. If one coin is selected, flipped, and shows heads, find P (coin is not fair)

3.Ana has a 30% chance of fixing her computer, Bella has a 60% chance of Ana fails. Find P (Bella fixed it | it was fixed) Assume they are mutually exclusive.

4.Suppose you ask your professor for a written recommendation

If P (recommendation is good) = 0.4

If P(recommendation is okay) = 0.5

If P(recommendation is bad) = 0.1

And

P (gets job | recommendation is good) = 0.5

P (gets job | recommendation is okay) = 0.25

P (gets job | recommendation is bad) = 0

Find p (you get the job) and P(you don't)