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 0.13. Due to his various superstitions, he is 2-times more likely to use 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.

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(use four decimals in your answer) Part (b) Keeping in mind that he could use either Brand A or Brand B to start the game, what is the probability that the stick he uses at the start of the game breaks?

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(use four decimals)

Part (c) If he breaks the stick he started the game with, what is the probability that he started the game with Brand B?

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(use four decimals)