Q2 of 158 Page 33

List all events associated with the random experiment of tossing of two coins. How many of them are elementary events?

Given: Two coins are tossed once.

To find: How many events are elementary events

Explanation: We know, when Two coins are tossed then the no. of possible outcomes are 2² = 4

So, The Sample spaces are {HH, HT, TT, TH}

Hence, there are total 4 events associated with the given experiment.

A die is thrown repeatedly until a six comes up. What is the sample space for this experiment.

A coin is tossed. Find the total number of elementary events and also the total number of events associated with the random experiment.

Three coins are tossed once. Describe the following events associated with this random experiment:

A = Getting three heads, B = Getting two heads and one tail, C = Getting three tails, D = Getting a head on the first coin.

(i) Which pairs of events are mutually exclusive?

(ii) Which events are elementary events?

(iii) Which events are compound events?

In a single throw of a die describe the following events:

(i) A = Getting a number less than 7

(ii) B = Getting a number greater than 7

(iii) C = Getting a multiple of 3

(iv) D = Getting a number less than 4

(v) E = Getting an even number greater than 4.

(vi) F = Getting a number not less than 3.

Also, find A ∪ B, A ∩ B, B ∩ C, E ∩ F, D ∩ F and .