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Question

If a coin is tossed twice, then the events 'occurrence of one head', 'occurrence of 2 heads' and 'occurrence of no head' are -

A
Independent
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B
Equally likely
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C
Not equally likely
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D
Both (A) and (B)
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Solution

The correct option is B Not equally likely
Possible outcomes when a coin is tossed = H or T
Possible outcomes when a coin is tossed twice= HH,TT,TH,HT
=4 outcomes
P(occurrence of 1H) = TH,HT
=2/4=1/2
P(occurrence of 2H) = HH
=1/4
P(occurrence of no H) = TT
=1/4
Therefore, the probability of occurrence of no head and occurrence of no head and occurrence of two head is same but probability of occurrence of one Head is 1/2. Thus the events are:-
Not equally likely.

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