Variance Questions

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?

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?

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?

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)?

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?

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 (97-98): Consider the following for the two (02) items that follow: Let X be a random variable following binomial distribution with parameters n = 6 and p = k. Further, 9P(X = 4) = P(X = 2).

 What is the value of P(X = 3)?

Direction for Questions (97-98): Consider the following for the two (02) items that follow: Let X be a random variable following binomial distribution with parameters n = 6 and p = k. Further, 9P(X = 4) = P(X = 2).

What is the value of k?

Direction for Questions (95-96): Consider the following for the two (02) items that follow: The sum and the sum of squares of the observation corresponding to length X (in cm) and weight Y (in gm) of 50 tropical tubers are given as ∑X = 200, ∑Y = 250, ∑X² = 900 and ∑Y² = 1400.

 Which one of the following statements is correct?