Probability Calculations for Sporting Events

Explore the application of the addition law for mutually exclusive events in scenarios involving sports matches where outcomes such as wins, losses, draws, and postponements are considered. Work through examples involving Castle FC football matches and Aiden the boxer to calculate probabilities of different outcomes.

• Probability
• Sporting Events
• Addition Law
• Mutually Exclusive
• Sports Analysis

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Uploaded on Sep 22, 2024 | 0 Views

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Presentation Transcript

1. Use the addition law for Use the addition law for mutually exclusive events mutually exclusive events Silent Teacher Intelligent Practice Your Turn Narration Win 1 2 Lose 1 2 Win Lose Practice 0.5 0.5

2. Worked Example Your Turn Castle FC play football matches every Saturday. Castle FC play football matches every Saturday. The probability that Castle FC will win or draw. table shows the The probability that Castle FC will win or draw. table shows the Work out the probability that Castle FC will lose Work out the probability that Castle FC will lose Win Lose Win Lose 6 8 3 4 Work out the probability that Castle FC will win Work out the probability that Castle FC will lose Win Lose Win Lose 0.75 0.75

3. Aiden is a boxer. The table shows the probability that Aiden will win, lose or draw. Work out the probability that Aiden will draw Work out the probability that Aiden will draw Win Lose Draw Win Lose Draw 1 4 1 4 0.2 0.2 Work out the probability that Aiden will draw or win Work out the probability that Aiden will draw Win Lose Draw Win Lose Draw 1 4 1 4 0.3 0.03 Work out the probability that Aiden will draw Work out the probability that Aiden will draw or lose Win Lose Draw Win Lose Draw 1 4 2 8 0.7 0.07

4. Aiden is a boxer. The table shows the probability that Aiden will win, lose or draw. Work out the probability that Aiden will draw Work out the probability that Aiden will draw Win Lose Draw Win Lose Draw 1 4 1 4 2 4 0.2 0.2 0.6 Work out the probability that Aiden will draw or win Work out the probability that Aiden will draw 3 4 Win Lose Draw Win Lose Draw 1 4 1 4 2 4 0.3 0.03 0.67 Work out the probability that Aiden will draw Work out the probability that Aiden will draw or lose 0.3 Win Lose Draw Win Lose Draw 4 8 = 2 4 = 1 1 4 2 8 0.7 0.23 0.07 2

5. Aiden is a boxer. The table shows the probability that Aiden will win, lose or draw. Work out the probability that Aiden will win Win Lose ? ? Work out the probability that Aiden s match will be postponed Win Lose Draw Postponed 2? 2? 2? 4? Work out the probability that Aiden s match will be postponed Win Lose Draw Postponed 3 4? 1 4? 2? 2?

6. Aiden is a boxer. The table shows the probability that Aiden will win, lose or draw. Work out the probability that Aiden will win Win Lose 0.5 0.5 Work out the probability that Aiden s match will be postponed Win Lose Draw Postponed 0.2 0.2 0.2 0.4 Work out the probability that Aiden s match will be postponed Win Lose Draw Postponed 0.15 0.4 0.4 0.05

7. Castle FC play football matches every Saturday. In their last 10 matches, Castle FC have drawn 5 matches, lost 2 and won the rest. Complete the probability table for Castle FC Win Lose Draw Castle FC play football matches every Saturday. In their last 50 matches, Castle FC have drawn 10 matches, lost 5 and won the rest. Complete the probability table for Castle FC as decimals Win Lose Draw

8. Castle FC play football matches every Saturday. In their last 10 matches, Castle FC have drawn 5 matches, lost 2 and won the rest. Complete the probability table for Castle FC Win Lose Draw 3 2 5 10 10 10 Castle FC play football matches every Saturday. In their last 50 matches, Castle FC have drawn 10 matches, lost 5 and won the rest. Complete the probability table for Castle FC as decimals Win Lose Draw Win Lose Draw 10 50 35 50 5 0.7 0.1 0.2 50