SOLUTION: Suppose you make a dollar bet on a game in which there is a 1 in 5 chance to win. If you win, you win two dollars. On average, you will lose playing this game and each play cos

Algebra.Com
Question 1076567: Suppose you make a dollar bet on a game in which there is a 1 in 5 chance to win. If you win, you win two dollars.
On average, you will lose playing this game and each play costs you _______cents. If you play 200 times, you can expect to lose around_____ dollars.

Answer by FrankM(1040)   (Show Source): You can put this solution on YOUR website!
A 1 in 5 change of winning $2 is worth 40 cents. If you pay $1 for this, each play costs you 60 cents. i.e. you lose 60 cents per game average.
Play 200 times, lose $120.
To confirm, 200 games should win approx (bell curve for actual results) 40 times.
40 wins = $80 returned, or $120 loss.
Note, this was from some time ago, but I just saw a note that the teacher says the loss is $80.
On 200 plays, on average one in five wins or 40 wins. 40 wins is 40 x $2 = $80 returned. Therefore $120 lost. This is not difficult, we all (even teachers) make mistakes.

RELATED QUESTIONS

Suppose you play a game in which you make a bet and then draw a card from a deck that... (answered by stanbon)
Suppose you are playing a game of chance. If you bet $5 on a certain event, you will... (answered by edjones)
Suppose you play a game of chance in which you toss a coin 3 times. You pay a nor... (answered by greenestamps)
In a Nevada casino, when you place a $1 bet on the "pass line", in the game of craps,... (answered by edjones)
Not quite sure where to begin here: roulette wheel has 38 pockets. One is numbered 0,... (answered by math_helper)
f you bet a dollar on a single number on the roulette and that number comes up, you get... (answered by math_helper)
When you bet that the outcome is it all number the pay of all there 1 to 1 how much... (answered by ikleyn)
Suppose that you are at a casino playing roulette. The strategy you are using is to,... (answered by ikleyn)
Suppose it costs $6.00 to roll a pair of dice. You get paid the large number in dollars... (answered by Boreal)