Let A be a subset of the set {1,2,...,n}. The number of elements of A is r, 1<=r<=n (|A| = r). What is the probability that A does not contain any consecutive elements?

5. Brett is off to college . There are 1000 additional new male students, and one of them will be randomly assigned to Share Brett's dorm room. He is hoping that it won't be someone who like s to party or who snores. Use the table below to answer the following questions: Snores (S) Doesn't Snore (DS) | Total 150 Likes to Party (LP) Doesn't Like to Party (DP) Total 250 200 350 550 750 650 1000

The probability that a person owns a car is 0.85, that a person owns a laptop is 0.45, and that a person owns both a car and a laptop is 0.35. If a person is selected at random, a) Find the probability that the person owns either a car or a laptop. b) Find the probability that the person has a laptop given that he has a car also. c) Find the probability that the person has neither a car nor a laptop. d) Show that the events 'own a car' and 'own a laptop' are not independent.

Six digits are chosen randomly from the set   {0, 1,2,.....9). a.) What is the probability that all six digits are the same? b.) What is the probability that only 2 digits are the same?

The TAs invite some other friends to join in on their Barbie watch party. Among the 2 ≤ k ≤ 7people at the watch party, what is the probability that at least two of them were born on thesame day of the week?

If we roll a 6 sided die calculate p(rolling 4) in probability an even is any particular outcome or group of outcome. The set of a possible outcome is

Let A and B be two events such that the probability of B is 0.5 and the probability of both is 0.2. Find the probability of A given that B occurs.

Find the z value that corresponds to the given area in the figure below. Use The Standard Normal Distribution Table and enter the answer to 2 decimal places. (Note: Figure not drawn to scale.) 0.4772