A coin is tossed and then a die is thrown. Find the probability of obtaining a 6, given that a head came up.
A coin is tossed and a die thrown.
A coin having two sides have a total outcome of 2 viz. {H,T}
A die has 6 faces and will have a total outcome of 6 i.e. {1, 2,3,4,5,6}
Let P(A) be the probability of getting the number 6.
Let P(B) be the probability of getting a head.
The sample space of B ={H}
Let 
be the probability of getting the number 6 and a head.
Tip – By conditional probability, 
where 
is the probability of occurrence of the event A given that B has already occurred.
The probability that 6 came up given that head came up:
1