The following table shows the frequency of outcomes when two distinquishable coins were tossed 8,000 times.What is the estimated probability that heads comes up at least once?

Outcomes HH HT TH TT

Frequency 1,995 2,009 1,997 1,999

a)0.0011

b)0.2511

c)0.4994

d)0.7501

e)0.2496

f)None of the above.

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Question 8

Three horses, call them A, B, and C, are going to race against each other.The probability that A will win the race is¹₆and the probability that B will win the race is¹₇.What is the probability that C will win the race?

a)0.3095

b)0.6905

c)0.0238

d)0.8333

e)0.8571

f)None of the above.

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Question 9

A person playing a certain lottery can win $100, $10, $1, can break even, or can lose $10.These five outcomes with their corresponding probabilities are given by the probability distribution in the following table:

Winnings (outcome) $100 (A) $10 (B) $1(C) $0(D) -$10(E)

Probability ¹₂₅ ³₅₀ ⁸₂₅ ²₂₅ ¹₂

What is the probability that the person will win some money?

a)0.50

b)0.44

c)0.32

d)0.42

e)0.46

f)None of the above.

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Question 10

Four students are running for class president:Liz, Bob, Sue ,and Tom. The probabilities of Bob, Sue, and Tom winning are⁷₂₅,³₁₀and²¹₁₀₀, respectively. What is the probability that a boy will win?

a)0.79

b)0.49

c)0.51

d)0.21

e)0.37

f)None of the above.