Applications of Probability — Test Answers

Which statement is true about whether cap A and cap b are independent events?

To the nearest whole percent, what is the probability that a randomly selected customer from Satellite Company cap y watches recorded shows more often than live television?

What is the probability that the spinner will land on a number greater than 4 or on a shaded section?

To the nearest tenth, what is the value of cap p times open paren cap c divides cap y close paren ?

How many patients had allergies or ear infections, but not both?

Which statement is true about whether Z and B are independent events?

Pedro has determined that the probability his shot will score in a lacrosse game is 0.30. What is the probability that he will score on two consecutive shots?

A security alarm requires a four-digit code. The code can use the digits 0-9 and the digits cannot be repeated. Which expression can be used to determine the probability of the alarm code beginning with a number greater than 7 ?

Evaluate the expression. the fraction with numerator 9 factorial and denominator 3 factorial

Brent’s after-school game club has 12 members from which a six-member team is created. Miguel’s after-school sports club has 10 members from which a six-member team is created. Which student’s club has more possible combinations for his six-member team?

In a standard deck of cards there are 13 spades, 13 clubs, 13 hearts, and 13 diamonds. The spades and the clubs are black and the hearts and the diamonds are red. If two cards are chosen at random from a deck, one at a time, and replaced after each pick, what is the probability that a black card is chosen first and a heart is chosen second?

Christina is randomly choosing three movies to take on vacation from nine action movies, seven science fiction movies, and four comedies. Which statement is true?

Eight identical slips of paper, each containing one number from one to eight, inclusive, are mixed up inside a bag. Subset A of the sample space represents the complement of the event in which the number 6 is drawn from the bag. Which shows subset cap A ?

Four seniors and six juniors are competing for four places on a quiz bowl team. What is the approximate probability that all four seniors will be chosen at random?

Consider the sets. cap A x divides x is a polygon cap b x divides x is a triangle Which is true?

A bag contains five red marbles, two orange marbles, one yellow marble, and two green marbles. Two marbles are drawn from the bag. What is the approximate probability one of the chosen marbles is orange and one of the chosen marbles is green?

Will surveyed students at his school about whether they have ever gone snowboarding and whether they own a skateboard. He found that 35 of the 99 students who own a skateboard have snowboarded. Also, there were 13 students who have snowboarded but do not own a skateboard, and 147 students who have never gone snowboarding and do not own a skateboard. Which two-way table correctly displays these data?

Consider U={x|x is a positive integer greater than 1}. Which is an empty set?

Jillian has three different bracelets X, Y, and Z to give to her friends as gifts in any order she prefers. If bracelet cap y is chosen first, in how many ways can Jillian give out the bracelets?

A spinner is divided into eight equal-sized sections, numbered from 1 to 8, inclusive. What is true about spinning the spinner one time? Choose three correct answers.