Three unbiased coins are tossed what is the probability of getting two heads a ¾ b ¼ c 3 8 d 1 8

At most two means 0,1,2 but not more than Two. so (TTT,TTH,THT,HTT,THH,HTH,HHT=7) But no HHH not acceptable because here 3 head. Probability=7/8

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Three unbiased coins are tossed what is the probability of getting two heads a ¾ b ¼ c 3 8 d 1 8

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60 Questions 180 Marks 90 Mins

Here total possibilities (sample space) S = {TTT, TTH, THT, HTT, THH, HTH, HHT, HHH}

Favorable cases E = event of getting at most two heads.

Atmost two head meaning is :- we can consider 0 number of heads, 1 number of heads, 2 number of heads. 

Then E = {TTT, TTH, THT, HTT, THH, HTH, HHT}.

\({\rm{P}}\left( {\rm{E}} \right){\rm{}} = {{n\left( E \right)} \over {n\left( S \right)}} = {\rm{}}{7 \over 8}\)

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Answer & Explanation Answer: D) 6

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