A “superfecta” is correctly guessing the top four horses in order in a horse race. (a)...
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A “superfecta” is correctly guessing the top four horses in order in a horse race.
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(a) If there are 8 horses in a race, how many different superfectas are possible?
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(b) “Boxing” a superfecta means that you get to choose the four horses for the superfecta without regard to order. How many box superfectas are possible?
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(c) If a bet on a superfecta costs 10 cents. How much would you expect for a box superfecta to cost? (Hint: Think about how many bets you are implicitly allowed to make by boxing!)
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Homework Answers
a) number of different superfectas(order matter) =(8P4) =8!/(8-4)! =8*7*6*5 =1680
b) number of box superfectas are possible =(8C4) =8!/(4!*(8-4)!)=70
c) expected cost for a box superfacta = 70*10 c = 700 cents or $7
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