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6 votes
6 votes
Im confused on how to answer this question Im not too sure what the win and lose mean ;/

Im confused on how to answer this question Im not too sure what the win and lose mean-example-1
User Pixelscreen
by
3.1k points

1 Answer

14 votes
14 votes

We have:

Total number of cards = 52

If you win then you will get = $70

If you lose then you will give him = $10

Therefore, first let us calculate the probability that three fives cards will be drawn with replacement:


P(3\text{ fives cards)=}(4)/(52)*(4)/(52)*(4)/(52)=0.000455

Next, the probability that it will not draw three fives in succession is:


P(\text{not 3 fives cards)=}1-0.000455=0.999545

Hence, for each game the expected return would be:


0.000455*70-0.999545*10=0.03185-9.99545=-9.9636

For 30 times:


-9.9636*30=-298.91

So, you lose $298.91

Answer:

Lose

$298.91

User Dmytro Chaban
by
3.1k points