PhD graduate has applied for a job with two universities, A and B. The graduate feels that she has a 60% chance of receiving an offer from university A, and a 30% chance of receiving an offer from university B. If she receives an offer from university B, she believes that she has an 70% chance of receiving an offer from university A. If she receives an offer from university B, what is the probability that she will not receive an offer from university A?  a) 0.66.

Answer the following question. Sammy the Seahawk is leading the Broward College (BC) Math Team in a competition against the Technical Higher Education of Mathematics (THEM). This competition consists of up to five rounds and the team that wins three rounds first wins the competition. The first round will be at BC, the second round at THEM, and the other rounds will continue to alternate locations. Sammy calculates that the probability of winning a round at BC is 0.7 and the probability of winning a round at THEM is 0.4. What is the probability that BC wins the competition? Your answer must be accurate to 5 decimal places.

In a remote jungle village the probability of a child contracting malaria is .45 the probability of contracting measles is.65 and the probability of contracting both is .20 What is the probability of a child contracting malaria or measles?

Based on a study from the Chronicles of Flippin'' Awesomeness, the probability that Napoleon and Pedro make it to their first period class on time is 0.38. The probability that they make it to their first period class on time, given that they catch the bus is 0.60. The probability that Napoleon and Pedro catch the bus and make it to their first period class on time is 0.22. What is the probability that Napoleon and Pedro catch the bus?