WGU C955 - Module 7: Probability Questions And Answers 2022

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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 1/6 The table below shows the breakdown of workers at a business. What is the probabili... ty of selecting a worker who is over 45 years of age to the nearest hundredth? Age 18−25 26−44 45+ Total Male 75 200 125 400 Female 50 225 100 375 Total 125 425 225 775 a 0.16 b 0.29 c 0.42 d 0.55 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 75 200 125 400 Female 50 225 100 375 Total 125 425 225 775 a 0.48 b 0.52 c 0.56 d 0.60 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 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 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 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% 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 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 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 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 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% 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 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 75 200 125 400 Female 50 225 100 375 Total 125 425 225 775 a 0.46 b 0.48 c 0.52 d 0.54 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 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 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. 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 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 1/256 There are 30 different boxes of cereal to choose from. 6 boxes are red, 5 boxes are yellow, 9 boxes are blue, and 10 boxes are brown. What is the probability of not selecting a red box? a 3/10 b 2/3 c 4/5 d 5/6 4/5 The table below shows the breakdown of workers at a business. What is the probability of selecting a worker aged 26−44 years to the nearest hundredth? Age 18−25 26−44 45+ Total Male 75 200 125 400 Female 50 225 100 375 Total 125 425 225 775 a 0.16 b 0.29 c 0.42 d 0.55 0.55 What is the sample size for choosing an even number between 1 and 51? a 24 b 25 c 26 d 27 25 Question 3 There are 30 different boxes of cereal to choose from. 6 boxes are red, 5 boxes are yellow, 9 boxes are blue, and 10 boxes are brown. What is the probability of not selecting a yellow box? a 3/10 b 2/3 c 4/5 d 5/6 5/6 The diagram represents the number of people who like the flavors of ice cream ( A ) chocolate, ( B ) strawberry, ( C ) vanilla. What does A and B and not C 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 Like chocolate and strawberry, not vanilla 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 non-meat topping. If two people are chosen to state their favorite pizza topping, what is the probability that they would both choose a meat topping? a 0% b 10% c 16% d 40% 16% 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 blue second to the nearest percent? Round your answer to the nearest whole number. a 10% b 12% c 31% d 33% 10% Four cards are chosen from a deck of 52 cards with replacement. In the deck, half the cards are red. What is the probability that each of the four cards is red? a 1/16 b 1/256 c 1/28,561 d 1/456,976 1/16 A game has a 10 -sided die. What is the probability of rolling an odd number or a number greater than 8 ? a 1/5 b 2/5 c 3/5 d 4/5 3/5 The table below shows the breakdown of workers at a business. What is the probability that a randomly selected 26−44 year old is female? Age 18−25 26−44 45+ Total Male 75 200 125 400 Female 50 225 100 375 Total 125 425 225 775 a 0.45 b 0.47 c 0.51 d 0.53 0.53 Jackie is sick. The probability that she visits the doctor's office is 0.3 . The probability that she goes to the doctor's office and gets a new infection while waiting is 0.05 . So, if she goes to the doctor's office, what is the probability that she gets an additional infection there? a 0.015 b 0.025 c 0.167 d 6 0.167 There are white and blue marbles in a bag. The probability of choosing a white marble is 0.33 . The probability of drawing a white marble first and then a blue marble second is 0.19 . What is the probability to the nearest hundredth that the second marble is blue if the first marble is white? a 0.33 b 0.39 c 0.54 d 0.58 0.58 The numbers 1−10 are in a bag and two are drawn without replacement. What is the probability of drawing an odd number first, and an odd number second? a 2/9 b 4/9 c 1/2 d 3/4 2/9 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 green marble? a 0.11 b 0.225 c 0.315 d 0.35 0.315 The table below shows the breakdown of workers at a business. What is the probability of selecting a female worker to the nearest hundredth? Age 18−25 26−44 45+ Total Male 75 200 125 400 Female 50 225 100 375 Total 125 425 225 775 a 0.46 b 0.48 c 0.52 d 0.54 0.48 The following table shows the percentage of events at an arena. Basketball 26% Hockey 19% Concert 18% Tradeshow 9% Other 28% What is the disjoint probability of having a tradeshow or concert at the arena? a 27% b 37% c 45% d 55% 27% The probability of losing a soccer match is 0.3 and tying is 0.2 . What is the probability of losing or tying the match? a 0.14 b 0.24 c 0.44 d 0.5 0.5 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 black marble out of the bag. a 5/32 b 1/4 c 9/32 d 5/16 5/32 Using the sample space for rolling a die and flipping two coins, what is the probability that the coins land on different faces? {{ 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 different directions. }} a 1/4 b 3/8 c 1/2 d 3/4 1/2 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 B represent? a Sports only b Band only c Both sports and band d Neither sports nor band. e Either sports or band Both sports and band What is the probability of someone having a birthday in May, June, or July? a 1/6 b 1/4 c 1/3 d 1/2 1/4 If the probability of event E is 4/9, the probability of the complement of E is 5/9. a) True b) False True Angelique wants to go on a vacation, but she's anxious about whether or not she's going to get a year-end bonus at work. She knows that she is less likely to get a bonus if she doesn't meet her sales target. She has a 5.88% chance of missing her sales target, and 60% of associates who miss their targets do not receive a bonus. What is Angelique's probability of missing her sales target, and subsequently not receiving a bonus? a) 1.32% b) 1.98% c) 2.35% d) 3.5% 3.5% [Show More]

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