1.
What does the expected value of a fair game equal?
A.
twice the payoff
B.
zero
C.
half the payoff
D.
one
Hint
2.
Based on past sweepstakes a company expects 10,000 entries. Find the expected values of Sweepstake C shown in the chart. Round to the nearest ten thousandth.
A.
2.04
B.
0.36
C.
0.84
D.
0.22
Hint
3.
A Las Vegas company states the probability of winning $60,000 is 0.012, the probability of winning $15,000 is 0.014.and the probability of winning $15,000 is 0.014. What is the expected value?
A.
1140
B.
90,000
C.
1523
D.
50,254
Hint
4.
A chess club is thinking of selling magazines as a fundraiser. The company states the probability of making $6,000 is 0.67 and the probability of losing $2500 is 0.27. The company claims that on average any club makes over $5000. Is this claim accurate? Why or why not?
A.
no; The expected value was over $5000.
B.
yes; The expected value is under $5000.
C.
yes; The expected value was over $5000
D.
no; The expected value is under $5000.
Hint
5.
Two children are playing with a bag of four marbles. One is white, 2 are blue and 1is red. Each child takes a marble from the bag. The child with a red marble receives 3 points. Otherwise the child loses one point. Is the game fair? Why or why not?
A.
no; The expected value does not equal zero.
B.
no; The expected value is equal to zero.
C.
yes; The expected value does not equal zero.
D.
yes; The expected value is equal to zero.
Hint