need ans asap pls:

Answer the following:

a) You roll a fair die. If you roll a 1 you roll the die once again. Write down the sample space for this experiment. Are the outcomes of the experiment equally likely? Justify your answer.

b) You read the following report about train delays: with probability 0.6 trains are delayed more than 15 minutes, with probability 0.3 trains are delayed less than 5 minutes or are not delayed, and with probability 0.2 trains are delayed between 5 and 15 minutes. How do you comment on this report? Briefly explain.

c) You know that P(A) = 2/5, P(B|A) = 1/4 and P(A|B) = 2/5. Are events A, B mutually exclusive, or not? Justify your answer.