Two coins are tossed simultaneously. Write the sample space ‘S’ and the number of sample points n(S). Write the following events using set notation and mention the number of elements in each of them:-

(a) A is the event of getting at least one head.

(b) B is the event of getting exactly one head

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#### Solution

The sample space (S) is

S = {TT, HT,TH, HH}

n(s) = 4

a) Let A be the event of getting at least one head.

A = {HT, HH, TH}

n(A) = 3

b) Let B be the event of getting exactly one head.

B = {HT, TH}

n(B) = 2

Concept: Basic Ideas of Probability

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