Probability and Statistics — Test Answers

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

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.

Aaron, Bob, and Charlotte are running a race. Which event would be considered dependent?

You are challenged to a lucky draw game. If you draw a face card open paren cap k comma cap q comma cap j close paren from a standard deck of cards, you earn 10 points. If you draw any other card, you lose 2 points. What is the expected value of a draw?

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?

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?

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 ?

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?

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 ?

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.

Dependent events can best be described as

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

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

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?

You pick a card at random from an ordinary deck of 52 cards. If the card is a diamond, you get some points; if not, you lose 2 points. What value for the diamonds would make the game fair?

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?

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

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

Which probabilities are correct? Choose two correct answers.

Each person takes turns rolling two dice. If the sum is odd, the person playing odds gets points equal to the sum of the roll. If the sum is even, the person playing evens gets points equal to the sum of the roll. Note that the points earned is independent of who is rolling the dice. If Jessica is challenged to a game of Sums, which statement is accurate in every aspect in guiding her to the correct choice of choosing to play odds or evens?