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zzz [600]
4 years ago
14

Gambler is deciding whether or not to take a bet. she must pay $40 to take the bet, but if she wins, she willprofit$225.theproba

bility that she wins the bet is ¼. what is the player’s expected value in this situation
Mathematics
1 answer:
Vesnalui [34]4 years ago
3 0
Expected value of the bet is
the sum of the products of value of outcome and its probability,
less the amount paid to place the bet.

Outcomes value probability
win            225    1/4
lose               0    3/4
cost of bet = 40

So expected value of bet
E[X]=225*(1/4)+0*(3/4)-40
=56.25-40
=16.25

This means that in the long run, gambler will win, since the expected value is positive.  (does NOT mean she will win in the next bet!)
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Answer:

t=2

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Step-by-step explanation:

3 tacos and a juice is $7

3t+j=7

4 tacos and 2 juices is $10

4t+2j=10

We have a simultaneous equation. It can be solved either by substitution method or Elimination method. For the purpose of this question, the elimination method will be used

3t+j=7 Equation 1

4t+2j=10 Equation 2

To eliminate j, we multiply Equation 1 by 2, the coefficient of j in equation 2, so that in both equations, j can have the same coefficient.

2(3t+j=7)

6t+2j=14 Equation 3

We now have

4t+2j=10 Equation 2

6t+2j=14 Equation 3

We subtract equation 2 from equation 3, to eliminate j

6t-4t=2t

2j-2j=0

14-10=4

We have 2t=4

Divide both sides by 2

2t/2=4/2

t=4/2

t=2

Substitute t for 2 in equation 1, to get j

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3(2)+j=7

6+j=7

j=7-6

j=1

One taco cost $2 while 1 juice cost $2

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3 years ago
A rectangular plot 72 metres long and 20 metres wide on a school farm sided into 18 equal plots. What the area of each plot?
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It's hard to give an exact answer when it is this open ended.

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Step-by-step explanation:


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