WGU C955 - Module 7 Probability Exam Questions With Correct Answers

What is the probability of someone having a birthday in March or December? a 1/6 b 1/4 c 1/3 d 1/2 - Answer 1/6 The table below shows the breakdown of workers at a business. What is the probability of selecting a worker who is over 45 years of age to the nearest hundredth? Age 18−25 26−44 45+ Total Male Female Total a 0.16 b 0.29 c 0.42 d 0.55 - Answer 0.29 The table below shows the breakdown of workers at a business. What is the probability that a randomly selected 18−25 year old is male (to the nearest hundredth)? Age 18−25 26−44 45+ Total Male Female Total a 0.48 b 0.52 c 0.56 d 0.60 - Answer 0.60 The probability that Jimmy attends school on any given day is 0.98 . The probability Jimmy misses a day of school, given that he missed the day before, is 0.5 . What is the probability that Jimmy misses school on BOTH Tuesday and Wednesday? a 0.0004 b 0.01 c 0.02 d 0.04 - Answer 0.01 The following table shows the percentage of events at an arena. Basketball 26% Hockey 19% Concert 18% Table Tennis 9% Other 28% What is the disjoint probability of having a basketball or hockey game at the arena? a 27% b 37% c 45% d 55 - Answer 45% A game has a 10 -sided fair die. What is the probability of rolling an even number or a number less than 5 ? a 1/10 b 3/10 c 7/10 d 9/10 - Answer 7/10 A survey on favorite pizza topping was given: 33% said cheese was their favorite topping, 25% said pepperoni, 15% said sausage, and 27% said other. If two people are picked at random and replaced, what is the probability of picking two people that like cheese? Round your answer to a whole number. a 0% b 11% c 33% d 66% - Answer 11% There was a marble drawn from a bag in an experiment and placed back in the bag repeatedly. A red marble appeared 45 times, a blue marble 70 times, a green marble 63 times, and a black marble 22 times. What is the empirical probability of the blue marble? a 0.11 b 0.225 c 0.315 d 0.35 - Answer 0.35 In a bag, there are 8 red marbles, 10 blue marbles, 9 green marbles, and 5 black marbles. Find the theoretical probability of drawing a red marble out of the bag. a 5/32 b 1/4 c 9/32 d 5/16 - Answer 1/4 What is the sample size for choosing an odd number between 1 and 75 , including the numbers 1 and 75 ? a 37 b 38 c 39 d 40 - Answer 38 There are black, blue, and white marbles in a bag. The probability of choosing a black marble is 0.36 . The probability of choosing a black and then a white marble is 0.27 . To the nearest hundredth, what is the probability of the second marble being white if the first marble chosen is black? a 0.27 b 0.39 c 0.75 d 0.86 - Answer 0.75 There are 10 blue, 10 red, and 10 green labels in a bag. The labels are drawn from the bag and not replaced. What is the probability of drawing a blue first, and not blue second to the nearest percent? a 22% b 23% c 32% d 33% - Answer 23% The numbers 1−10 are in a bag and two are drawn without replacement. What is the probability of drawing an even number first, and a 1 second? a 1/2 b 1/9 c 1/18 d 1/20 - Answer 1/18 Question 14 The table below shows the breakdown of workers at a business. What is the probability of selecting a male worker to the nearest hundredth? Age 18−25 26−44 45+ Total Male Female Total a 0.46 b 0.48 c 0.52 d 0.54 - Answer 0.52 Using the sample space for rolling a die and flipping two coins, what is the probability for an even number and both coins in the same direction? {{ A probability tree that shows the sample size of rolling a six-sided die numbered one through six and flipping a two-sided coin labeled heads and tails. Each line of the probability tree is numbered one through six representing the six possible outcomes for rolling the die. For the 6 different branches there are twenty-four possible outcomes. There are three even numbers on the die, and for each of these branches there are two ways that the coins will flip in the same direction. }} a 1/4 b 3/8 c 1/2 d 3/4 - Answer 1/4 The probability of the Red Sox winning a baseball game is 0.6 . The probability of losing the game is 0.4 . What is the probability that the Red Sox either win or lose the game. a 0.12 b 0.24 c 0.76 d 1 - Answer 1 Use the diagram below to answer the following question. {{ Venn diagram. Intersecting circles labeled A and B. Circle A is blue, Circle B is red. }} There are high school students that are in sports ( A ) and in band ( B ). What does A and not B represent? a Sports only b Band only c Both sports and band d Neither sports nor band. - Answer Sports only The diagram represents the number of people who like the flavors of ice cream ( A ) chocolate, ( B ) strawberry, ( C ) vanilla. What does A and C and not B represent? {{ Venn diagram. Intersecting circles labeled A, B, and C. Circle A is blue. Circle B is red. Circle C is green. }} a Like chocolate, vanilla, and strawberry b Like vanilla and strawberry, not chocolate c Like chocolate and vanilla, not strawberry d Like chocolate and strawberry, not vanilla - Answer Like chocolate and vanilla, not strawberry Four cards are chosen from a deck of 52 cards with replacement. A deck contains 13 cards each of spades, hearts, diamonds, and clubs. What is the probability that each of the four cards is a diamond? a 1/16 b 1/256 c 1/28,561 d 1/456,976 - Answer 1/256