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# Statistics: dice, marbles, survey, cards, smoker, tourist, participants

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Two sided dice are rolled. What is the probability that the sum of the two numbers on the dice will be 5?

A bag contains 2 red marbles, 3 blue marbles and 7 green marbles. If a marble is randomly selected from the bag, what is the probability that it is blue?

A case consists of 41 women and 74 men. If a student is randomly selected, what is the probability that a student is a woman?

A survey resulted in the sample data in the given table. If one of the respondents is randomly selected, fine the probability of getting someone who lives in the flat. (house 258, Flat 518, Apartment 406, Other 426)

A card is drawn from 52 cards. What is the probability of drawing a high card (ace, king, Jack, Queen) or 5?

Find probability of correctly answering the first 4 questions on a multiple choice test if random guesses are made and each question has 3 possible answers.

The table describes the smoking rates of asthma sufferers. (A) If one of the 1037 people is selected, find the probability that the person is a man or heavy smoker. (B) If one of the subjects is randomly selected, find the probability the person is a heavy smoker given that person is a man.

nonsmoker occasional smoker Reg smoker Heavy smoker total
Men 346 34 69 39 488
Women 377 39 85 48 549
Total 723 73 154 87 1037

Is the B dependant or independent of event A?
P(A)=0.9, p(B)=0.6, P9AandB)=0.35

A sample of 4 different calculators is randomly selected from a group containing 46 that are defective and 21 that have no defects. What is the probability that all four calculators selected are defective?

In a study conducted, a certain college shows 53% of the schools graduates find a job in their chosen field within a yr of graduation. Find the probability that among 6 randomly selected graduates at least one finds a job within a year of graduating in their chosen field.

Find the indicated number of ways for 10P2 & 7C3

A tourist in France wants to visit 10 cities. If the route is selected what is the probability that she will visit the cities in alphabetical order?

In a certain lottery, 4 numbers between 1 and 12 are inclusive draw. These are the winning numbers. How many different selections are possible? Assume that the order in which the numbers are drawn is not important.

There are 11 members on a board of directors. If they must elect a chairperson, secretary treasurer, how many different slates of candidates are possible?

The organizer of a TV show must select 7 people to participate. The participants will be selected from a list of 24 people (11men 13 women) who have written into the show, If the participants are selected at random, what is the probability that 4 men and 3 women are selected?

https://brainmass.com/statistics/probability/statistics-dice-marbles-survey-cards-smoker-tourist-329826

#### Solution Preview

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Two sided dice are rolled. What is the probability that the sum of the two numbers on the dice will be 5?

Assume the two dice are fair, so the probability of showing any number is equally likely. Therefore, P(X1,X2)=(1/6)*(1/6)=1/36 for any given number x1 and x2, where x1 is the number on first dice, and x2 is the number on second one, 1<=x1<=6, 1<=x2<=6.

If the sum of the two numbers is 5, then the possible events are {1,4}, {2,3},{3,2}, {4,1}, and the probability of each event is 1/36, so the probability that the sum of the two numbers on the dice will be 5 is 4*(1/36)=1/9.

A bag contains 2 red marbles, 3 blue marbles and 7 green marbles. If a marble is randomly selected from the bag, what is the probability that it is blue?

The total number of marbles is 2+3+7=12, and there are 3 blue ones, so the probability that a randomly selected marble is blue 3/12=1/4

A class consists of 41 women and 74 men. If a student is randomly selected, what is the probability that a student is a woman?

Similarly, there are 115 students in the class, and the number of women is 41, so a randomly selected student has probability of 41/115 =0.3565 being woman.

A survey resulted in the sample data in the given table. If one of the respondents is randomly selected, fine the probability of getting someone who lives in the flat. (house 258, Flat 518, Apartment 406, Other 426)

Similarly in the previous two problems, the ...

#### Solution Summary

Dice, marbles, survey, cards, smoker, and tourists statistics are examined.

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