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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 Kuhne 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 Kuhne chooses H, H, T?
d) What is the probability of winning all 3 coin tosses if Kuhne choses T, H, T?
e) What is the probability of losing all 3 coin tosses if Kuhne chooses tails every time?
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a)    𝑃(tails) = 0.5 so 𝑃(tails) × 𝑃(tails)   × 𝑃(tails) = 0.125

b)

c)    P (H,H,T) = 0.125

d)    P (T,H,T) = 0.125

e)    1 – P (T,T,T) = 0.875

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