A coin is tossed three times ,then find the probability of getting head on middle
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So the probability of getting one head is the probability of getting one of those 3 outcomes, i.e. 3/8. There are 2x2x2=8 possible outcomes of which 3 meet the requirement: HTT, THT and TTH. These are all equally likely, with probability 1/8.
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Sample space: {HHH,HTH,THH,TTHHHT,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)
=83+81
(using formula=P(event)=Total no. of possible outcomesNo. of favourable outcomes
P(A)=84=21
∴P(A)=21
(2) B: getting exactly two heads
P(B)=3/8
(3) C: getting almost one head
P(C)=P(getting no head)+P(getting 1 head)
=81+83=84=21
P(C)=21.
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