Question 15: The probability that a student is not a swimmer is > . Then the probability that out of five students, four are swimmers is th (A) (B) Uil - (C) 5 (D ) None of theseQuestion 2: A couple has two children, (i) Find the probability that both children are males, if it is known that at least one of the children is male. (ii) Find the probability that both children are females, if it is known that the elder child is a female.Class XII Chapter 13 - Probability Maths Question 4: Suppose that 90% of people are right-handed. What is the probability that at most 6 of a random sample of 10 people are right-handed?Question 5: An urn contains 25 balls of which 10 balls bear a mark 'X' and the remaining 15 bear a mark "Y'. A ball is drawn at random from the urn, its mark is noted down and it is replaced. If 6 balls are drawn in this way, find the probability that (i) all will bear 'X' mark. (ii) not more than 2 will bear 'Y' mark. (iii) at least one ball will bear 'Y' mark (iv) the number of balls with "X' mark and "Y' mark will be equal.2* (0) Question 7: A die is thrown again and again until three sixes are obtained. Find the probability of obtaining the third six in the sixth throw of the die.Question 11: In a game, a man wins a rupee for a six and loses a rupee for any other number when a fair die is thrown. The man decided to throw a die thrice but to quit as and when he gets a six. Find the expected value of the amount he wins/loses.Question 10: How many times must a man toss a fair coin so that the probability of having at least one head is more than 90%?Question 3: Suppose that 5% of men and 0.25% of women have grey hair. A haired person is selected at random. What is the probability of this person being male? Assume that there are equal number of males and females.Question 14: If each element of a second order determinant is either zero or one, what is the probability that the value of the determinant is positive? (Assume that the individual entries of the determinant are chosen independently, each value being assumed with probability 2 )