Help me please

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 3 4 5 6 H (1, H) ( 2 , H ) (3, H) ( 4, H) ( 5 , H ) ( 6, H ) T (1, T) ( 2 , T ) (3 , T) (4, T) (5, T) (6, T) 1) Find the probability that in a single experiment you obtain a head. 2) Find the probability that in a single experiment you obtain an even number. 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(An B). 3) Find the probability that in a single experiment you obtain a head and a number less than 3 on the die. 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