On the pg 13.38 of our Maths module the 25th and the 26th questions are as follows
25. P(B/A) is only defined when
a. A is a sure event
b.B is a sure event
c. A is not an impossible event
d. B is an impossible event
ans: c
26. P(A/B') is defined only when
a. B is not a sure event
b. B is a sure event
c. B is not an impossible event
d. B is not an impossible event
ans:a
Why can't the answer for the 26th one be c ( since the above answer is given in terms of impossible event ) ??
because B is not a sure event,it is a impossible event.
B' is not an impossible event implies B is not sure because if B is sure the B' will be impossible and P(B') will be zero makimg P(A|B') = P(AnB')/p(B') undefined
B is an impossible event is a subset of the events which has b is not a sure event. P(A|B') is defined for all P(B') not equal to zero. so by mentioning answer c you would say that P(A|B') is not defined for anything except when P(B') is 1 which is not true
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