Consider an experiment with five possible outcomes, labeled as a,b,c,d and e.
Give P(a)=P(b)=0.2, P(c)=0.25, P(d)=0.1 and let event H={a,b,c}, K={b,c,d}
Find:
1) P(H|K)
2) P(H|K^c)
3) P(K|H)
Use conditional probability defined as:
P(A|B)=P(A∩B)/P(B)
Also, in general,
P(A∩B)=P(A)*P(B) if and only if A and B are independent.
You will have to assume independence of the outcomes or else there is not enough information to do the above calculations. Also, check if there is a sentence missing regarding independence.