Question: The probability that the weather will be cold on Sunday is 0.75. If the weather is cold, there is a probability of 0.30 that Barney

The probability that the weather will be cold on Sunday is 0.75.

If the weather is cold, there is a probability of 0.30 that Barney will win.

If the weather is not cold, there is a probability of 0.90 that Fred will win.

Calculate the probability that:

  1. The weather is cold and Fred wins the match

  1. The weather is not cold and Barney wins the match

  1. Barney wins the match

  1. Fred wins the match

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