Assignment:
Using the given probabilities of individual events, find the probabilities that the specified combinations of those events will occur:
Q1. If the school cafeteria serves meat loaf, there is a 70% chance that they will serve peas. If they do not serve meat loaf, there is a 30% chance that they will serve peas anyway. The students know that meat loaf will be served exactly once during the 5-day week, but they do not know which day. If tomorrow is Monday, what is the probability that
a) the cafeteria serves meat loaf?
b) the cafeteria serves meat loaf and peas?
c) the caferteria serves peas?
Q2. Piano Lessons
If it rains tomorrow, the probability is .8 that John will practice his piano lesson. If it does not rain tomorrow, there is only a .4 chance that John will practice. Suppose that the chance of rain tomorrow is 60%. What is the probability that John will practice his piano lesson?
Provide complete and step by step solution for the question and show calculations and use formulas.