Probability (College Board AP® Statistics)

As part of a job application, Melody has to sit three tests. The probability that Melody passes the first test is 0.85, the second is 0.6, and the third is 0.75. The tests are independent of each other. What is the probability that Melody does not pass any of the three tests?

The distribution of shapes of toys in a bag is as follows.

If two toys are randomly drawn from the bag with replacement, what is the probability that they are the same shape?

A fast-food restaurant aims to deliver food to its customers within 30 minutes. The probability that an order will take longer than 30 minutes to be delivered is 0.06. The probability that an order will take longer than 30 minutes and contain the incorrect food is 0.03. The probability that an order will contain the incorrect food is 0.15. Given that an order contains the incorrect food, what is the probability that it will take longer than 30 minutes to be delivered?

Owen and Derek are on a baseball team. The chances of them hitting a home run during a game are independent of each other. The probability that Owen and Derek both hit a home run in a game is 0.35. The probability that Owen hits a home run but Derek does not is 0.45. What is the probability that Derek hits a home run during a game?

Two best friends, Meredith and Christina, work at the same place. On any given day, there is a 20% chance that Meredith will be late for work. If Meredith is late to work, there is a 30% chance that Christina will also be late. If Meredith is not late for work, there is a ten percent chance that Christina will be late. What is the probability that at least one of the two best friends will be late for work on any given day?