Find the theoretical probability of:

a. Drawing a red ace or a heart from a regular deck of cards. (4 marks)

b. When guessing the birthdays of two friends, getting exactly one right, if you know the first friend was born in a leap

year and the second friend wasn't. Assume birthdays are evenly distributed through the year. (4 marks)

c. Being dealt at least 4 hearts in a hand of 5 cards dealt from a regular deck. (5 marks)

d. When selecting 3 cards from a regular deck without replacement, having the 3rd card be the second spade drawn.

(5 marks)