Gate Exam Numerical Ability Probability

A person having three coins, first coin have both sides head, second coin
and third coin having one head and one tail. If one coin is picked up randomly
and tossed then the probability that it shows head having tail is...

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Gate Other Question

A fair coin is tossed infinite times then find the probability of 4th head occurs
exactly at 10th times.
Parcels from sender S to receiver R passes. Sequentially through two post offices. Each
post-offices has a probability (1/
5) of losing an incoming parcel, undependable of all other
parcels. Given that parcel is lost, the probability that it was lost by 2nd post office is...
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