If two dice are rolled simultaneously, find the probability of the following events.

(1) The sum of the digits on the upper faces is at least 10.

(2) The sum of the digits on the upper faces is 33.

(3) The digit on the first die is greater than the digit on second die.

Write sample space ‘S’ and number of sample point n(S) for each of the following experiments. Also write events A, B, C in the set form and write n(A), n(B), n(C).

One coin and one die are thrown simultaneously.

Condition for event A : To get head and an odd number.

Condition for event B : To get a head or tail and an even number.

Condition for event C : Number on the upper face is greater than 7 and tail on the coin.

If two coins are tossed, find the probability of the following events.

(1) Getting at least one head.

(2) Getting no head.

There are 15 tickets in a box, each bearing one of the numbers from 1 to 15. One ticket is drawn at random from the box. Find the probability of event that the ticket drawn -

(1) shows an even number.

(2) shows a number which is a multiple of 5.

A two digit number is formed with digits 2, 3, 5, 7, 9 without repetition. What is the probability that the number formed is

(1) an odd number ?

(2) a multiple of 5 ?