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Bafana Bafana are going to play three soccer matches in a round robin, before each soccer match the captains of the teams flip a coin to determine which team will have the kick-off.
a) What is the probability of having the kick-off every time if Khune always chooses tails?
b) Draw a tree diagram to represent the possible outcomes of all three coin tosses. Use the tree diagram to answer the questions that follow:
c) What is the probability of winning all 3 coin tosses if Khune chooses H. H. T?
d) What is the probability of winning all 3 coin tosses if Khune choses $T, H$, T?
e) What is the probability of losing all 3 coin tosses if Khune chooses tails every time?
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