Question

1. (2 pts) If A and B are events, where P(B) > 0, then show that P(A' |B) 1- P(A | B) Hint: Use the definition of conditional probability to show that P(A | B) P(A' | B) 1. derived the Law of Total Probability (the simple case) Take a look at how we 4. (2 pts) At the beginning of the week, George made seven sandwiches: three turkey sandwiches two ham sandwiches, and two roast beef sandwiches. Each day, he randomly selects one to days, he ate ham sandwiches for lunch. What is the take for his lunch. For the first two probability that he had turkey sandwiches for the next two Hint: Let T3 {turkey days? on 4th day. Find P(T3 n T^). on 3rd day and T4= {turkey -

Answer 1

P(A'IB) P(AIB) P(A'n B) PI6) plAnG) P(B) P(A'ne)PIANB) P(B) P(B) PIB) An8 ANB - ) P(A16) 1- P(AI8) left, omeng nem After thoo days 5 ase 4. 3 duakey omd 2 beaf PIT). P(T4IT3) P(T, nT) = PT).PTeIT) 3 2. 4 5 3 10 2 LIKE PRESS