Unfair Coin Please Be Fair
Probability
Level
2
I have an unfair coin, which has p/q probability on landing heads. p and q are 2 distinct positive integers.
I throw the unfair coin twice. Can the chances of getting 2 heads be 1/2?
No
Yes
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1 solution
For getting a head there is probability of p/q.
And getting 2 heads that means a head and a head is:-
p(H).p(H)= (p/q)^2
Given that
(p/q)^2=1/2
As p and q are integers and 2 is not perfect square so it cannot be possible. Answer is NO.