Suppose that Jim is applying to two colleges: College A, an “Ivy League” school, and College B, a state university. Based on his credentials and the requirements of the two colleges, Jim estimates his chances with the following probabilities:

  • Probability that he will be admitted to college A is 0.10.
  • Probability that he will be admitted to college B is 0.75.
  • Probability that he will be admitted to both colleges is 0.05.

What is the probability that Jim will be admitted to at least one of the two colleges?