Three numbers are selected at random without replacement from the set of numbers {1, 2, 3, … n}. The conditional probability that the 3rd number lies between the 1st two. If the 1st number is known to be smaller than the 2nd, is

Three numbers are selected at random without replacement from the set of numbers {1,2,….n}. The conditional probability that the third number lies between the first two, if the first number is known to be smaller than the second is

Three numbers are selected at random one by one with replacement from the numbers 1,2,3,….60. The probability that the A.M. of the numbers selected is 15 is.

Three numbers are selected at random one by one with replacement from the numbers 1,2,3,….60. The probability that the A.M. of the numbers selected is 15 is.

Two numbers x and y are chosen at random without replacement from the numbers 1, 2, 3,…, 3n. Find the probability that x^(3) + y^(3) is divisible by 3.

Three numbers are chosen at random without replacement from {1, 2, 3, …, 10}. Find the probability that the smallest of the chosen numbers is 3, or the greatest one is 7.

Three numbers are chosen at random without replacement from {1,2,3, …8}. The probability that their minimum is 3, given that their maximum is 6, is-