Question

Using Rule Based Probability, A box contains 7 good lemons and 10 bad lemons. Bob is going to randomly draw out 5 lemons. Find the probability that he will get at least one good lemon.

Answer 1

The probability that Bob draw 5 lemons is95.92%.

Explanation:

Let G represent Good lemons, n(G) = 7

Let B represent Bad lemons, n(B) = 10

Total sample = 7+10 = 17

P(all B) = (10 choose 5) / (17 choose 5)

P(all B) = 252 / 6188

P(all B) ≈ 0.0408

P(at least one G) = 1 - P(all B)

P(at least one G) = 1 - 0.0408

P(at least one G) ≈ 0.9592

= 95%