There are 15 broken light bulbs in a box of 100 light bulbs. A random sample of 10 bulbs is chosen without replacement. What is the probability that the sample contains exactly 5 broken bulbs?

A bag contains 9 RED beads, 4 BLUE beads, and 8 GREEN beads. If a single bead is picked at random, what is the probability that the bead is BLUE or GREEN?

2. If there are 5 pieces of gum and 3 candies in a box and 3 of them are taken at random, generate the probability distribution for the number of candies that came out in the sample.

Suppose that 20% of fruit flies possess a certain gene.  If we randomly select 20 fruit flies, find the probability that at least 5 flies in the sample possess the gene.  You may assume sampling with replacement.

Suppose that 20% of fruit flies possess a certain gene.  If we randomly select 20 fruit flies, find the probability that at least 7 flies in the sample possess the gene.  You may assume sampling with replacement.

According to a study done at Otago University Wellington, the probability a randomly selected individual will not cover their mouth when sneezing is 0.267. Suppose you sit on a bench in a mall and you observe 10 people as they sneeze. What is the probability that at least 3 of the people will not cover their mouth when they sneeze?