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If two fair coins are flipped and at least one of the outcomes is known to be a head, what is the probability that both outcomes are heads?

Ans is 1/3.

Why this answer does not come when we apply conditional probability?
asked in Mathematical Logic by (91 points)   | 51 views
who told the answer is 1/3?

1 Answer

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Sample space:{HH,HT,TH,TT}

Now here

P(HH)=P(TH)=P(HT)=P(TT)=1/4

Now

New Events lets us assume E

E={HH,HT,TH}

Here::

P(HH)=P(TH)=P(HT)=1/3

Therefore

P(HH)=1/3
answered by Boss (5.5k points)  


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