477 Answered Questions for the topic Finite Mathematics

04/15/15

(1) What is the probability that she remembers to bring her briefcase every day in one week (5 days)?
about the professor who sometimes forgets to bring her briefcase to the office, but assume that, each day, the probability that she forgets the briefcase is 1/6. Assume that her forgetting is a... more
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04/15/15

What is the probability that at least one mouse is female, given that exactly one is gray?
Assume that you have 10 mice in the cage: 4 white males, 3 gray females, and 3 gray males. Two mice are selected simultaneously and at random, and their colors are noted.What is the probability... more
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04/15/15

What is the probability that both balls are red given that the first ball you drew was red?
Assume that each bag contains 5 balls. Bag a contains 3 red and 2 white, while bag b contains 1 red, 3 white, and 1 blue. You randomly select one ball from bag a, note the color, and place the ball... more
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04/15/15

What is the probability that at least one inspector will find a defective widget?
Assume that the box contains 2 defective widgets and 10 acceptable widgets. There are 4 inspectors, each of whom selects a widget from the box at random, inspects it, and then replaces it in the... more
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04/10/15

What is the probability that the student attends at least one class on Monday?
involving a student's attendance at math and accounting classes on Mondays. Assume that the student attends math class with probability 0.65, skips accounting class with probability 0.25, and... more
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04/10/15

What is the probability that the Toyota leaves first?
Assume that there are 8 cars: 2 Chevrolets, 5 Fords, and 1 Toyota. Two cars leave at random, one after the other. Draw a tree diagram and use it to answer the following questions.(1) What is the... more
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04/10/15

What is the probability of getting exactly 4 correct answers?
about a multiple-choice test in which each question has 4 choices only one of which is correct. Assume that 9 questions are answered by guessing randomly.What is the probability of getting exactly... more
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Finite Mathematics Probability Story Problems Sets

04/10/15

What is the probability that the business makes a profit in exactly two of its first three years?
Assume that the business makes a profit with probability 0.3 in the first year. For each year thereafter, the business makes a profit with probability 0.6 if it made a profit in the previous year,... more
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04/10/15

What is the probability that the sum is 11, given that at least one of the numbers rolled is even?
involving the rolling of two fair dice. Answer the following questions.(1) What is the probability that the sum is 11, given that at least one of the numbers rolled is even? (2) What is the... more
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Finite Mathematics

04/09/15

Drawing probability
You're back at it, drawing more stuff at random from a bag. This bag is different, with 5 pieces of chocolate, 2 Starbursts, 6 gummy bears, and 1 gold-encrusted jellybean. You only have three... more
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Finite Mathematics

04/09/15

Probability
There is a 17% probability that Shirley will eat steak for her birthday, and there is a 20% chance that she will eat cake.  If there is a 10% chance that she will eat steak or cake, what is the... more
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04/08/15

Compute the following conditional probabilities
about independent events A and B in a sample space S, but assume that Pr[A] = 0.25 and Pr[B] = 0.3. Compute the following conditional probabilities: (1) Pr[A | B] = (2) Pr[B | A] =
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04/08/15

(1) What is Pr[B] if A and B are independent events? (2) What is Pr[B] if A and B are disjoint events?
For this problem, assume that Pr[A ∪B] = 0.6 and Pr[A] = 0.35.(1) What is Pr[B] if A and B are independent events? (2) What is Pr[B] if A and B are disjoint events?
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04/08/15

Compute the following conditional probabilities
independent events E and F in a sample space S, but assume that Pr[E] = 0.4 and Pr[F] = 0.15. Compute the following conditional probabilities: (1) Pr[E′| F] = (2) Pr[E | F′] =
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04/08/15

Find the associated weights for each outcome.
involving weights of outcomes in a sample space S = { O1, O2, O3, O4 }. Assume that Pr[ { O1, O2 } ] = 0.51, Pr[ { O1, O3 } ] = 0.56, and Pr[ { O1, O2, O3 } ] = 0.77. Find the associated weights... more
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04/08/15

Determine the probability of the following events
Assume that your sample space is S = { O1, O2, O3, O4, O5 } with associated weights (probabilities) w1 = 0.15, w2 = 0.30, w3 = 0.20, w4 = 0.10, and w5 = 0.25. Determine the probability of the... more
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Finite Mathematics Probability Fractions Sets

04/06/15

What is the probability of getting exactly 4 correct answers?
a multiple-choice test in which each question has 4 choices only one of which is correct. Assume that 7 questions are answered by guessing randomly.What is the probability of getting exactly 4... more
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Finite Mathematics Probability Fractions Sets

04/06/15

What is the probability of at least 6 correct answers?
Assume that 8 questions are answered by guessing.What is the probability of at least 6 correct answers?
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Finite Mathematics Word Problem Math Help Finite

04/05/15

Compute the odds in favor of obtaining a number divisible by 2 or 5 in a single roll of a dice.
Compute the odds in favor of obtaining a number divisible by 2 or 5 in a single roll of a dice.   The odds in favor are ___ to ____ (Type whole numbers)
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Finite Mathematics Math Word Problem Math Help

04/04/15

Questions A and B
A. What are the odds for rolling a sum of 9 in a single roll of two fair dice? (Simplify answer in a fraction)   B. If you bet $1 that a sum of 9 will turn up, what should the house pay(plus... more
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Finite Mathematics Math Word Problem Word Problems

04/04/15

What is the probability that the card is either an ace or heart?
A single card is drawn from a standard 52-card deck. Calculate the probability and odds for the following event. An ace or heart is drawn.   What is the probability that the card is either an... more
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Finite Mathematics Math Word Problem Word Problems

04/04/15

You are dealt one card from a 52-card deck. Calculate the probability of and odds for being dealt a six or a spade.
You are dealt one card from a 52-card deck. Calculate the probability of and odds for being dealt a six or a spade.   (Give answer in an integer or simplified fraction)
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Finite Mathematics Math Word Problem Word Problems

04/04/15

The probability the shipment will be rejected is...?
A shipment of 60 inexpensive digital watches, including 10 that are defective, is sent to a department store. The receiving department selects 10 at random for testing and rejects the whole... more
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Finite Mathematics Probability Story Problems Sets

04/02/15

What is the probability that exactly one blue ball is chosen?
Assume that you have 5 red balls and 6 blue balls from which randomly to select two without replacement.(1) What is the probability that exactly one blue ball is chosen? (2) What is the probability... more
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Finite Mathematics Probability Story Problems Sets

04/02/15

What is the probability of neither being red given that neither is blue?
For this problem, assume the box contains 3 red balls, 5 blue balls, and 8 white balls, and that we choose two balls at random from the box.What is the probability of neither being red given that... more
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