Name: 5.2.4 Probability of Independent, Dependent, and Mutually Exclusive Events Date : 4/1412021 Points Possible: 20 In an experiment a coin is tossed and a die (6 sided number cube) is rolled. The sample space diagram for this experiment is shown below. 1 2 H 3 1 (1, H) 1 (2, H ) (3 , H ) 5 6 1 (1, T) (4 , H ) ( 2, T) (3, T) ( 5 , H ) (6, H) (4, T) (5, T) (6, T) 1) Find the probability that in a single experiment you obtain a head. 1/2 2) Find the probability that in a single experiment you obtain an even number. 1/4 and B are m Remember for any two events A and B, P(A or B) = P(A) + P(B) - P(A and B). Another way to represent this is, P(A U B) = P(A) + P(B) - P(AnB). 3) Find the probability that in a single experiment you obtain a head and a number less than 3 on the die. ware number" and let B be the event 4) Find the probability that in a single experiment you obtain a head or a number less than 3 on the die. Two events A and B are independent if the occurrence of one does not the affect the chance that the other occurs. When two events A and B are independent P(An B) = P(A) * P(B) You can use this rule to test whether two events are independent. 5) Let H stand for the event "coin lands heads". Let L stand for the event "die score less than 3". a) Find P(H n L) using the sample space diagram above. b) Find P(H) , find P(L) c) Multiply P(H) * P(L) d) Are H and L independent?