Problem 3. Show that if E C F, then P(E)

Problem 3. Show that if E C F, then P(E) P(F). Problem 4. Show that the probability of exactly one of the events E or F occurs is equal to P(E) + P(F) - 2P(E n F). Problem 5. A group of 5 boys and 10 girls is lined up in random orderthat is, each of the 15! permutations is assumed to be equally likely. 1-1