Hey can I please get the explanation and answers to these questions?

them to ILC for marking. Total: 22 marks times? (3 marks) 47. What is the probability of tossing at least three "heads" if a fair coin is tossed four 48. Of the 15 teams in the National Hockey League's (NHL) Eastern Conference, three of them are based in Canadian cities. Each year, eight of these teams qualify for the playoffs. Assuming that all 15 teams have an equal chance of getting into the playoffs, what is the probability that a) none of the Canadian teams make the playoffs? (2 marks) b) at least one of the Canadian teams makes the playoffs? (2 marks) c) all three Canadian teams make the playoffs? (2 marks) 49. For each of the following, state whether or not the events are mutually exclusive (1 mark each) and determine the probability of the event occurring (2 marks each). Be sure to apply the notation used in this unit in your solution. a) Rolling a 1 or an even number with a single six-sided die (3 marks) b) Drawing a 10 or a red card from a standard deck of cards (3 marks) 50. Eight cards, numbered 4 to 11, are placed in a hat and two of the cards are drawn at random. a) What is the probability that the sum of the numbers will be equal to 10? (3 marks) b) What is the probability that the sum of the numbers will be greater than 14? (3 marks) c) Are these two events mutually exclusive of each other? Explain. (1 mark)