4.    A painter determines there may be delays on finishing a job due to rain or a shortage of workers. He predicts there is a 12% chance of rain and a 7% chance of a shortage of workers.
A) What is the probability that none of these events will occur?
B) What is the probability that at least one of these problems occurs?

5.    A gold miner is mining for gold in Texas, California and Nevada.   It is predicted there is a 35% chance of finding gold in Texas, a 22% chance in California and a 25% chance in Nevada.   What is the probability that:
A) Gold is found in California, but not Nevada?
B) Gold is found in Nevada, but not Texas?
C) Gold is not found in Texas, California nor Nevada?
D) Gold is found in at least one of these states?

6.    Three bombers are attempting to hit a target deep behind enemy lines.   The bombers success rates for bomber A, B and C are: 30%, 45% and 60% respectively.   Find the probability that:
A)   Bomber A will succeed, but bomber B and C will fail.
B)   Bomber B and C succeed, but bomber A fails.
C)   All three bombers fail.
D)   At least one of the bomber succeeds.

7.    Four Olympic skaters are attempting to win a medal.   The skaters success rates for skaters A, B, C and D are: 78%, 82%, 58% and 87% respectively. Find the probability that:
A)   Skater A and D are successful, but C and B are not.
B)   Skater B and C are successful, but A and D are not.
C) None of the skaters win a medal.
D) At least one of the four skater wins a medal.

Answers