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47 Answered Questions for the topic Conditional Probability

Conditional Probability Statistics Probability

11/01/15

multiple choice exam where probability of correct answer is different from if you know it or gamble

A student takes a multiple-choice exam. Suppose for each question he either knows the answer or gambles and chooses an option at random. Further suppose that if he knows the answer, the probability... more
Conditional Probability

06/05/15

Probability

Of a group of children, 0.4 are boys and 0.6 are girls. Of the boys, 0.7 have brown eyes; of the girls, 0.4 have brown eyes. A child is selected at random from the group. (a) Find the probability... more
Conditional Probability

06/05/15

Conditional Probability

In a second-semester English class, 40% of the students are sophomores and the rest freshmen; 25% of the sophomores are repeating the course and 15% of the freshmen gained admission to the course... more
Conditional Probability

06/04/15

Conditional Probability

A card is drawn from a pack of 52 playing cards. Find the probability that the card will be a king, given that it is a face card. (The face cards are the jacks, queens, and kings. Enter your... more
Conditional Probability Probability Permutations

04/20/15

How many different values are possible for the random variable Y?

involving drawing calculators from a box of working and broken calculators. Assume that the box contains 14 calculators: 12 that work and 2 that do not work. A sample of 3 calculators is selected... more
Conditional Probability Probability Permutations

04/20/15

How many different values are possible for the random variable X

Assume that the machine yields the item selected 70 percent of the time, and returns nothing 30 percent of the time. Three individuals attempt to use the machine. Let X be defined as the number of... more
Conditional Probability Probability Permutations

04/20/15

How many different values are possible for the random variable X?

involving the selection of two students from a committee of students. Assume that the committee is made up of 2 males and 5 females. Two are selected at random, and a random variable X is defined... more
Conditional Probability Probability Sets

04/20/15

What is the expected value of the coin selected (in cents)?

Assume that the drawer contains 12 coins: 3 quarters, 5 dimes, and 4 nickels. One coin is randomly selected.What is the expected value of the coin selected (in cents)?
Conditional Probability Probability Permutations

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
Conditional Probability Probability Permutations

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
Conditional Probability Probability Permutations

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
Conditional Probability Probability Sets

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] =
Conditional Probability Probability Fractions

04/02/15

What is the probability of selecting 1 mouse of each gender given that both are grey?

For this problem, assume there are 5 grey females, 2 grey males, 4 white females, and 5 white males. As in the book, the biologist selects two mice randomly.(1) What is the probability of selecting... more
Conditional Probability Probability Story Problems

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
Conditional Probability Probability Story Problems

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
Conditional Probability Probability Fractions

04/01/15

If the student plans to go to medical school, what is the probability that he is a freshman?

Assume that the class consists of 40 percent freshmen, 15 percent sophomores, 10 percent juniors, and 35 percent seniors. Assume further that 50 percent of the freshmen, 35 percent of the... more
Conditional Probability Probability Fractions

04/01/15

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 4 red and 1 white, while bag b contains 1 red, 1 white, and 3 blue. You randomly select one ball from bag a, note the color, and place the ball... more
Conditional Probability Probability Fractions

04/01/15

What is the probability that exactly one blue ball is chosen?

Assume that you have 6 red balls and 7 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
Conditional Probability Probability Fractions

03/31/15

Compute the following conditional probabilities:

events E and F in a sample space S, but assume that Pr[E] = 0.45, Pr[F] = 0.45, and Pr[E∩ F] = 0.25. Compute the following conditional probabilities: (1) Pr[E | F] = (2) Pr[F | E] =
Conditional Probability Probability Stats

12/07/14

Stats Probability Question. Find P(A|X), P(B|X), and P(C|X).

Suppose we have three mutually exclusive events A, B, and C such that P(A) = .4, P(B) = .4, and P(C) = .2. Also, for some event X, P(X|A) = .75, P(X|B) = .5, and P(X|C) = .5. Find P(A|X), P(B|X),... more
Conditional Probability

11/04/14

What is the conditional probability of this case?

A diagnosis for a test is such that it (correctly) detects the disease in 85% of the individuals who actually have the disease. Also, if a person does not have the disease, the test will report... more
Conditional Probability

04/26/13

Q#2:There are 50 tiles of which 15 are A's in a scrabble game. What is the probability of getting both A's when two tiles are drawn?

this is dependent and independent probability question
2

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