A Statistics professor takes two hockey sticks - Brand A and Brand B - to each g

Question

A Statistics professor takes two hockey sticks - Brand A and Brand B - to each game he plays. Since Brand A is a newer stick than Brand B, so he believes the chance he will break his Brand A stick in a game is 6%; he also believes the probability he will break Brand B in a game is 0.15.

Due to his various superstitions, he is 4-times more likely to his Brand A hockey stick to start a game than the Brand B stick.

Part (a) Find the probability that he will use his Brand A hockey stick at the start of a hockey game.

Explanation / Answer

The probability to carry the Brand A stick is 4 out of 5 times as it is used 4 times more than that of Brand B

So the required probability is 4/5=0.8

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