Scenario 12.1 : Simon and Paula are walking home from school and come across a man being attacked by a crazed miniature poodle. It takes only one of them to save the man from the poodle, but since responsibility is diffuse, each is only 70% likely to try to rescue the man.
-Refer to Scenario 12.1. What is the probability of neither Simon nor Paula trying to rescue the man?

Question

Quizplus · Accepted Answer

The probability of neither Simon nor Paula trying to rescue the man is the probability that Simon does not try to rescue the man multiplied by the probability that Paula does not try to rescue the man. The probability that Simon does not try to rescue the man is 1 - 0.7 = 0.3. The probability that Paula does not try to rescue the man is also 1 - 0.7 = 0.3. Therefore, the probability that neither Simon nor Paula tries to rescue the man is 0.3 * 0.3 = 0.09, or 9%.