Find the expected value.A fair coin is tossed three times, and a player wins $3 if 3 tails occur, wins $2 if 2 tails occur and loses $3 if no tails occur. If one tail occurs, no one wins. What is the expected value of the games?
A. $0.75
B. $2.00
C. -$3.00
D. $3.00
Answer: A
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Find the area of the specified region.Inside the lemniscate r2 = 6 sin 2? and outside the circle r = 
A. 2?
B. 3
- ? + 6
C. 
(2? + 3
)
D. 3
- ?
Write the number in scientific notation.619.687
A. 6.19687 × 10-1 B. 6.19687 × 101 C. 6.19687 × 102 D. 6.19687 × 10-2
Solve the problem.Four cards are numbered 1 through 4. Two of these cards are chosen at random without replacement and the numbers on them are multiplied. Find the expected value of this product.
A. 
B. 4
C. 6
D. 
In a certain city there is a river running through the middle of the city. There are three islands and seven bridges as shown in the figure below.
Which of the following statements is true?
A. The graph that models this situation has an Euler circuit. B. The graph that models this situation has an Euler path starting on the South Bank and ending on the North Bank. C. No edge in the graph that models this situation is actually a bridge. D. All of these are true. E. None of these are true.