can u help on these 3??

[3 marks) In a random experiment two fair coins are tossed, and the outcome is recorded. Two events are defined for this experiment as follows: A= Observe at least one head B="Observe at least one tail (a) Write out the complete sample space 2 for this experiment. (b) Write out the subset of this sample space that corresponds to A and B, where A and B are the events defined above. (c) Using a method of your choice, calculate the probability of A and B. [4 marks] A copper mining company plans to drill two exploratory core samples. Based on extensive past experience, combined with careful geological analysis, the probabilities of possible outcomes of the core samples are calculated as follows: Event A B Description Neither core sample tests positive for copper Exactly one core sample tests positive for copper Both core samples produce copper Probability 0.80 0.18 0.02 (a) Calculate the probability of A or B occurring (b) Calculate the probability of B or C occurring. In both calculations use the general addition rule: P(A or B) = P(A) + P(B) P(A and B) [4 marks] You roll two 6-sided fair dice and observe the number on the top of each. (a) Calculate the probability that the sum of the two numbers is equal to 6 or at least one of the numbers is odd. In your calculation use the general addition rule: P(A or B) = P(A) + P(B) P(A and B)