5. If a coin is tossed thrice what is the probability of getting at least two heads?
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Sample space:
HHH,HTH,THH,TTH
HHT,HTT,THT,TTT
Total number of possible outcomes=8
(1) A getting at least two heads
P(A)=P(getting two heads)+P(getting 3 heads)
(using formula=P(event)=
Total no. of possible outcomes/No. of favourable outcomes
= 3/8 + 1/8
⇒ 4/8 = 1/2
Hence, probability of getting at least 2 heads is 1/2.
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