Gary goes on a bike ride 3 days out of 7' Each day. there is an equal chance of the weather being sunny] or not Let B be the event "Gary goes on a bike ride\" and 5 be the event \"It is sunny". a. Find the probability for events 8 and S. [2 marks} 1:. Find the probability that it is sunny and Gary goes on a bike ride if P713 U S) : 0.30, correct to 2 decimal places. (2 marks) c. Using your rounded answer to part 111 nd the probabillty that Gary goes on a bike ride given that it is sunny. (2 marks) d. Are the events 5 and B mutually exclusive? Explain your answer with appropriate mathematical working. (1 mark) e. Are the events 5 and 8 independent? Explain your answer with appropriate mathematical working. (2 marks)