Investigation Write down the sample space for throwing a die and tossing a coin. 1T 2T 3T 4T 5T 6T 1H 2H 3H 4H 5H 6H   From the sample space calculate: P(Multiple of 3) = P(Head) = P(Multiple of 3 and a Head) = P(Multiple of 3) x P(Head) =

NOTE 4: compound events Independent Events Two events A and B are independent if the occurrence of one does not affect the occurrence of the other. If A and B are independent events then: P(A and B) = P(A) x P(B)  

Example: A coin is tossed and a tetrahedron die (1-4) is rolled Example: A coin is tossed and a tetrahedron die (1-4) is rolled. What is the probability of a head on the coin and a four on the die. P(Head and a four) = P(Head) x P(Four) = x =

If A and B are dependent events then: Two events A and B are dependent if the occurrence of one does affect the occurrence of the other. If A and B are dependent events then: P(A then B) = P(A) x P(B given that A has occurred)  

Example: Two cards are drawn from a pack of 52, one after the other. The first card is not replaced before the second card is drawn. What is the probability that both cards are Aces? P(2 cards drawn are Aces) = P(First card is Ace) x P(Second is Ace given first is Ace) = x =

Standard Level: Page 482 Exercise 19E.1 – E.2 Studies: Page 506 Exercise 16E.1 – E.2