One mapping is selected at random from all mappings of the set `S={1,2,3, n}` into itself. If the probability that the mapping is one-one is `3/32`, then the value of `n`

A mapping is select at random from the set of all the mappings of the set A={1,2, n} into itself. Find the probability that the mapping selected is an injection.

One ticket is selected at random from 50 tickets numbered 00, 01, 02, ... , 49. Then the probability that the sum of the digits on the selected ticket is 8, given that the product of these digits is zero, equals (1) 1/14 (2) 1/7 (3) 5/14 (4) 1/50

A bag contains n+1 coins. If is known that one of these coins shows heads on both sides, whereas the other coins are fair. One coin is selected at random and tossed. If the probability that toss results in heads is 7/12, then find the value of ndot

The probability that a student selected at random from a class will pass in Mathematics is 2/3 and the probability that he passes in Mathematics and English is 1/3 . What is the probability that he will pass in English if it is known that he has passed in Mathematics ?

Two numbers are selected randomly from the set S={1,2,3,4,5,6} without replacement one by one. The probability that minimum of the two numbers is less than 4 is (a) 1/15 (b) 14/15 (c) 1/5 (d) 4/5