Applications of Probability — Test Answers

Which combination represents the empty set?

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

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

The events "male” and "buys lunch” are not independent because

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

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

Given that a randomly chosen quadrilateral has four right angles, what is the probability that the quadrilateral also has four equal side lengths? Express your answer in percent form, rounded to the nearest whole percent.

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?

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

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?

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

Pedro has determined that the probability his shot will score in a lacrosse game is 0 point 3 0 What is the probability that he will score on two consecutive shots?

Consider cap u is equal to x divides x is A positive integer greater than 1 Which is an empty set?

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?

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?

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?

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?

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 ?

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?

Eight identical slips of paper, each containing one number from one to eight, inclusive, are mixed up inside a bag. Subset cap 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 ?