Basic probability Questions

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)?

The probability that a family owns a laptop is 0.68; that it also owns a desktop is 0.56. If the probability that it owns both is 0.48, then what is the probability that a randomly selected family owns a laptop or a desktop?

An urn contains 10 white and 5 red balls. If two balls are drawn at random, then what is the probability that both the balls are red?

An urn contains 5 white, 6 red and 4 blue balls. Three balls are drawn at random. What is the probability that a white ball, a red ball and a blue ball are drawn?

A person X speaks the truth 4 out of THE 5 times and person Y speaks the truth 5 out of 6 times. What is the probability asping that they will contradict each other in stating the fact?

The probability that a student passes Physics test is 2/3 and the probability that he passes both Physics test and English test is 11/15. The probability that he passes at least one test is 4/5. What is the probability that he passes English test?