You ask a neighbor to water a sickly plant while you are on vacation. Without water the plant will die with probability 0.85. With water it will die with probability 0.4. You are 82 % certain the neighbor will remember to water the plant.You come back from the vacation and the plant is dead. What is the probability that the plant died because neighbor forgot to water it?

You are interested in the number of people that will visit your restaurant in the noon hour. Historically, there is a 10% chance that more than 10 customers will visit, a 30% chance that more than 8 customers will visit, a 50% chance that more than 6 customers will visit, a 80% chance that more than 4 customers will visit, and a 95% chance that at least 2 customers will visit during the noon hour. What is the probability that 4 or less customers will visit the restaurant -- the number required to break even financially for the day?Express your answer as a percent value. So if your answer is 100% for example, enter 100. Round your answer to the nearest percent.

A game has a probability of winning of 0.6. A boy will play this game until he finally loses. What is the chance he will play exactly 4 times?

The probability of an adverse reaction to a pneumonia shot is 0.15. Pneumonia shots are given to a group of 12 people. What is the probability that none of them will have an adverse reaction?

Suppose that the prevalence of diabetes in the U.S. is 10% and that the prevalence of cardiovascular disease is 20%. Suppose also that 5% of people in the U.S. have both diabetes and cardiovascular disease.  Suppose Jack has diabetes. What is the probability that he also has cardiovascular disease?