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Question

what is the probability of getting atmost 1 head if three coins are tossed togethe??.

(list the outcomes and also a the meaning of atmost)

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Solution

When three unbiased coin are tossed together, then

the sample space obtained = {HHH, HHT, HTH, HTT, THH, THT, TTH, TTT}

where H means the head appears and T means the tail appears.

∴Total number of outcomes is obtained when three unbiased coins are tossed=8

Favourable number of cases of getting at most one head = {HTT, THT, TTH, TTT} = 4

Therefore, probability of getting atmost one head = Favourable number of cases / Total number of outcomes

= 4/8 = 1/2


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