Math Probablity Worksheet

In her last semester at SPC, Polly Hedron needs to take Statistics, Composition 2, Ethics, and Physics.  Because Polly is registering early, she has 12 choices for her section of Statistics, 13 choices for her section of Composition, 13 choices for her section of Ethics, and 17 choices for her section of Physics.  From how many possible schedules can Polly choose?

(You may presume that none of these sections interfere with each other)

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In a race of nine clock makers in how many ways could the top three finishers come in (presuming there are no ties)?

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Haroldo, Xerxes, Regina, Murray, Norah, Stav, Zeke, Cam, and Georgia  are invited to a dinner party.  They arrive in a random order and all arrive at different times.  What is the probability that Xeres arrives first?

Answer in decimal form.  Round to 3 decimal places as needed.

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Xerxes, Murray, Stav, Zeke, and Georgia  are invited to a dinner party.  They arrive in a random order and all arrive at different times.  What is the probability that Xeres arrives first?

Answer in decimal form.  Round to 3 decimal places as needed.

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The following table lists the number of unicyclists in Corvallis, OR. by age group.

What is the probability that a randomly selected unicyclist from Corvallis, OR. is not between 30 and 39?

Answer in decimal form.  Round your answer to 3 decimal places.

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The following table lists the number of unicyclists in Corvallis, OR. by age group.

What is the probability that a randomly selected unicyclist from Corvallis, OR. is not between 40 and 49?

Answer in decimal form.  Round your answer to 3 decimal places.

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The following table lists the number of unicyclists in Corvallis, OR. by age group.

What is the probability that a randomly selected unicyclist from Corvallis, OR. is not between 60 and 69?

Answer in decimal form.  Round your answer to 3 decimal places.

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Given P(A) = 0.22, P(B) = 0.24, and P(B|A) = 0.21, are A and B independent or dependent?

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Given P(A and B) = 0.94, P(A) = 0.98, and P(B) = 0.96 are events A and B independent or dependent?

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Given P(A and B) = 0.30, P(A) = 0.93, and P(B) = 0.32 are events A and B independent or dependent?

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Brandybuck Insurance Company (BIC) is deciding whether to insure the lives of those leading a quest to Moria.  Based on past experience, the probability of surviving such a quest is 86.1%.  If BIC charges a premium of 7,900 silver coins and would pay a death benefit of 82,000 silver coins if the insured were to die, what is the expected value of this insurance policy to BIC?

Round to the nearest silver coin as needed. If the expected value is a loss to BIC, enter your answer as a negative number.

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Given the following probability distribution, what is the expected value?

Round to 3 decimal places as needed.

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A raffle is being held to benefit the local animal shelter.  The sell 875 tickets that do not win any prize, 9 tickets that win a free adoption (valued at $20), and one ticket that wins $130 worth of pet supplies and toys.  If they are selling the tickets for $5 each, how much should the shelter expect to earn for each ticket sold?

Round to the nearest cent, as needed.

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