Ten telegrams are distributed at randam over 15 communication channels. Find the probability that the telegrams will be sent through ten different channels.

A local post office is to send M telegrams which are distributed at random over N communication channels, (N > M). Each telegram is sent over any channel with equal probability. Chance that not more than one telegram will be sent over each channel is:

Ten balls are distributed at random among three boxes. What is the probability that the first box will contain 3 balls?

Ten eggs are drawn successively with replacement from a lot containing 10% defective eggs. Find the probability that there is at least one defective egg.

Two consecutive drawings of a digit are made at random from the ten digits 0, 1, 2, …, 9. Find the probability that the product of the chosen digits is zero, given that the first drawn digit is replaced before the second drawing.

If 19 biscuits of different types be distributed among 5 children, then find the probability that a particular child will get 6 biscuits.

If 9 biscuits of different types be distributed among 3 children, find the probability that particular child will get 4 biscuits.

A bag contains a total of 20 books on physics and mathematics. Ten books are chosen from the bag and it is found that it contains 6 books of mathematics. Find out the probability that the remaining books in the bag contains 2 books on mathematics.

A bag contains a total of 20 books on physics and mathematics, Any possible combination of books is equally likely. Ten books are chosen from the bag and it is found that it contains 6 books of mathematics. Find out the probability that the remaining books in the bag contains 3 books on mathematics.

One of the ten available keys opens the door. If we try the keys one after another, then find the following (i) the probability that the door is opened in the first attemt. (ii) the probability tht the door is opened in the second attempt. (iii) the probability that the door is opened in the third attempt. (iv) the probability that the door is opened in the tenth attempt.

Five different games are to be distributed among 4 children randomly. The probability that each child get at least one game is a. 1//4 b. 15//64 c. 5//9 d. 7//12