solve with explanation.

Q-5: [4x2 marks] a) Two cards are dealt off a well-shuffled deck. You win $1 if the two cards are of different suits. Find the probability of your winning? b) A coin is tossed 5 times. What is the probability that the first toss is a head or exactly 2 out of the five tosses are heads? c) In a shuffled 52-card deck, what is the probability that neither the top nor the bottom card is a heart? d) A bag contains 20 red marbles, 20 green marbles and 20 blue marbles. You reach in and grab 15 marbles. What is the probability that they are all the same colour