Working with combinations.

An admission test given by a university contains 10 true-false questions. Eight or more of the questions must be answered correctly in order to be admitted. (a) How many different ways can the answer sheet be filled out? (b) How many different ways can the answer sheet be filled out so that 8 or more questions are answered correctly?

Sets: Counting Techniques

In a survey of 125 college students, it was found that of three newspapers, the Wall Street Journal, New York Times, and Chicago Tribune: 60 read the Chicago Tribune 40 read the New York Times 15 read the Wall Street Journal 25 read the Chicago Tribune and New York Times 8 read the New York Times and Wall Street Journal 3 read the Chicago Tribune and Wall Street Journal 1 read all three. a) How many read none of these papers? b) How many read only the Chicago Tribune? c) How many read neither the Chicago Tribune nor the New York Times?

Probability

Problem: If E and F are events with P(E U F)= 5/8, P(E U(This U suppose to be upside down or intersect F)=1/3 and P(E) = 1/2 find a.) P(E')or the compliment of E b.) P(F) c.) P(F')or the compliment of F

Probability

Problem: In a certain population of people, 25% are blue-eyed and 75% are brown-eyed. Also, 10% of the blue-eyed people are left handed and 5% of the brown-eyed people are left-handed. a.) What is the probability that a person chosen at randon is blue-eyed and left-handed? b.) What is the probability that a person chosen at random is left-handed? c.) What is the probability that a perosn is blue-eyed, given that the person is left-handed?

Marble probability

A jar contains 3 white marbles, 2 yellow marbles, 4 red marbles, and 5 blue marbles. Two marbles are picked at random. What is the probability that a.) Both are blue b.) Exactly 1 is blue c.) At least 1 is blue