Question: Two baseball players Barney and Fred, plan to play a baseball match on Sunday. The probability that the weather will be cold on Sunday is

Two baseball players Barney and Fred, plan to play a baseball match on Sunday.

The probability that the weather will be cold on Sunday is .75.

If the weather is cold, there is a probability of .30 that Barney will win.

If the weather is not cold, there is a probability of .90 that Fred will win.

Calculate the probability that

(i) The weather is cold and Fred wins the match

(ii) The weather is not cold and Barney wins the match

(iii) Barney wins the match

(iv) Fred wins the match

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