Foundations of Math 12. Please show your work.

12. Five cards are dealt from a well-shuffled deck of 52 cards. What is the probability that the hand will contain: a) 2 tens and 3 fives? a) 2 marks b) Exactly 3 twos and two other cards that are not twos? b) 2 marks c) Three of a kind? [three cards the same and two other cards not the same as the three of a kind and not the same as each other] c) 3 marks 13. A multiple-choice test has 6 questions. Each question has 5 choices and only one of which is correct. If a student guesses the answer for each question find the probability that the students gets: exactly 3 questions correct. 13. 2 marks