Basic probability

A, B and C are three mutually exclusive and exhaustive events associated with a random experiment. If 3P (B) = 4 P (A) and 3P(C) = 2P (B), then what is P(A) equal to?

The probability of a man hitting a target is 1/5. If the man fires 7 times, then what is the probability that he hits the target at least twice?

Direction for Questions (99-100): Consider the following for the two (02) items that follow: A committee of 6 members is formed from a group of 7 gentlemen and 4 ladies.

What is the probability that the committee includes exactly 3 gentlemen?

Direction for Questions (99-100): Consider the following for the two (02) items that follow: A committee of 6 members is formed from a group of 7 gentlemen and 4 ladies.

 What is the probability that the committee includes at least 2 ladies?

In a sample survey of a village, the probability that a farmer is in debt is 0.60. What is the probability that three randomly selected farmers are all in debt (assume independence of events)?