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Please explain part a and b! 1) You are invited to a poker game in which 10 peop

ID: 3047418 • Letter: P

Question

Please explain part a and b!

1) You are invited to a poker game in which 10 people play. $80 goes to the winner, $50 goes to second place, and $30 goes to third. You feel that you are a better player than average and that if you play, you have a 25% chance of winning, 25% chance of coming in second, and a 25% chance of coming in third.

a)What would be your expected winnings if you entered the tournament?

b)Now assume you are required to pay a $30 entrance fee. Should you enter the tournament? Why?

Explanation / Answer

a) Expected winnings = 0.25*80+0.25*30+0.25*50+0=50

b) Since expected winnings of 40 >30, we should enter the tournament.