Exam 5: Probability

This problem deals with eye color, an inherited trait. For purposes of this problem, assume that only two eye colors are possible, brown and blue. We use b to represent a blue eye gene and B a brown eye gene. If any B genes are present, the person will have brown eyes. The table shows the four possibilities for the children of two Bb (brown-eyed) parents, where each parent has one of each eye color gene. Find the probability that these parents give birth to a child who has blue eyes.

Find the value of the combination. -

The events A and B are mutually exclusive. If P(A) = 0.2 and P(B) = 0.5, what is P(A and B) ?

You are dealt one card from a 52-card deck. Find the probability that you are not dealt a spade. Express the probability as a simplified fraction.

(a) Roll a pair of dice 40 times, recording the sum each time. Use your results to approximate the probability of getting a sum of 8. (b) Roll a pair of dice 100 times, recording the sum each time. Use your results to approximate the probability of getting a sum of 8. Compare the results of (a) and (b) to the probability that would be obtained using the classical method.Which answer was closer to the probability that would be obtained using the classical method? Is this what you would expect?

A fair coin is tossed two times in succession. The set of equally likely outcomes is Find the probability of getting the same outcome on each toss.

A card is drawn from a standard deck of 52 playing cards. Find the probability that the card is a picture card.

(a) Use a graphing calculator or statistical software to simulate drawing a card from a standard deck 100 times (with replacement of the card after each draw). Use an integer distribution with numbers 1 through 4 and use the results of the simulation to estimate the probability of getting a spade when a card is drawn from a standard deck. (b) Simulate drawing a card from a standard deck 400 times (with replacement of the card after each draw). Estimate the probability of getting a spade when a card is drawn from a standard deck. Compare the results of (a) and (b) to the probability that would be obtained using the classical method.Which simulation resulted in the closest estimate to the probability that would be obtained using the classical method? Is this what you would expect?

The probability that a region prone to hurricanes will be hit by a hurricane in any single year is . What is the probability of a hurricane at least once in the next 5 years?

Four employees drive to work in the same car. The workers claim they were late to work because of a flat tire. Their managers ask the workers to identify the tire that went flat; front driver's side, front passenger's side, rear driver's side, or rear passenger's side. If the workers didn't really have a flat tire and each randomly selects a tire, what is the probability that all four workers select the same tire?

The table lists the drinking habits of a group of college students. If a student is chosen at random, find the probability of getting someone who is a non-drinker. Round your answer to three decimal places.

Find the value of the permutation. -

Find the value of the combination. -

Find the indicated probability. Give your answer as a simplified fraction. -The manager of a used car lot took inventory of the automobiles on his lot and constructed the following table based on the age of his car and its make (foreign or domestic). A car was randomly selected from the lot. Given that the car selected is older than two years old, find the probability that it is not a foreign car.

To play the lottery in a certain state, a person has to correctly select 5 out of 45 numbers, paying $1 for each five-number selection. If the five numbers picked are the same as the ones drawn by the lottery, an enormous sum of money is bestowed. What is the probability that a person with one combination of five numbers will win? What is the probability of winning if 100 different lottery tickets are purchased?

If you are dealt 5 cards from a shuffled deck of 52 cards, find the probability that all 5 cards are picture cards.

The distribution of Bachelor's degrees conferred by a university is listed in the table. Assume that a student majors in only one subject. What is the probability that a randomly selected student with a Bachelor's degree majored in Physics or Philosophy? Round your answer to three decimal places.

You are dealt one card from a standard 52-card deck. Find the probability of being dealt an ace or a 8.

A probability experiment is conducted in which the sample space of the experiment is Let event and event Assume that each outcome is equally likely. List the outcomes in A and B. Are A and B mutually exclusive?

The table lists the drinking habits of a group of college students. If a student is chosen at random, find the probability of getting someone who is a regular or heavy drinker. Round your answer to three decimal places.