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The probability that our school will host soccer and rugby tournament this year is 0.8. If we host the probability of winning soccer is 0.7.

  1. The probability that our school will host soccer and rugby tournament this year is 0.8. If we host the probability of winning soccer is 0.7. If we do not host the probability of winning soccer is 0.4. If we win soccer the probability of winning rugby is 0.8, otherwise if we lose the probability of winning rugby is 0.3.
  2. Draw a tree diagram to represent this information.                                                       
  1. Use the tree diagram to find:-
  2. The probability that we will lose both games.                                                      
The probability that we will win only one game.

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