Latest self Aptitude Question SOLUTION: A fair coin is tossed three times in succession. If the first toss produces a head, then what is the probability of getting exactly two heads in three tosses?

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(#M40002909) SELF question Self Keep an EYE

A fair coin is tossed three times in succession. If the first toss produces a head, then what is the probability of getting exactly two heads in three tosses?

jai Narayan Mishra (12 years ago)

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srilatha  (12 years ago)

if a coin tossed 3 times means the outcomes are n(s)=2^3 =8
H H H
H H T
H T H
T H H
T T T
T T H
T H T
H T T
so
if the first toss produces a head means i.e from either of {TTH,HTT,THT}
Then the favarable things to getng exactly two heads{THH,HHT,HHH,HTH}=4
SO the ans is P(E)=n(e)/n(s)=4/8=1/2

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