M A B Q.15 In the above figure, assume that the probability of a relay being closed is and that a relay is open or closed independently of any other. Find the probability that current flows from M to N.

Assume that the probability that an airplane engine will fail during a torture test is 12and that the aircraft in question has 4 engines. Construct a sample space for the torture test. Use S for survive and F for fail.

If the spinner shown below is spun, find the probability of each event. Assume that the spinner never stops on a line. The spinner stops on yellow.

On a game show, a contestant is given the digits 3, 4, and 5 to arrange in the proper order to form the price of an appliance. If the contestant is correct, he or she wins the appliance. What is the probability of winning when the contestant knows that the price is at least $400?

The conditional probability of E given that F occurs is P(EF)=___________. So in rolling a die the conditional probability of the event E, getting a six, given that the event F, getting an even number, has occurred is P(EF)=___________.

Assume that the probability that an airplane engine will fail during a torture test is 12and that the aircraft in question has 4 engines. Find the probability that all engines will survive the test.