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QUESTION

The Addition Rule of Probability states that the probability of event A or event B occurring is the probability of event A plus the probability of

The Addition Rule of Probability states that the probability of event A or event B occurring is the probability of event A plus the probability of event B minus the probability that both events occur as the single outcome for an experiment. True or False?

_________________ is based upon the assumption that the outcomes of an experiment are equally likely.

When using the Addition Rule of Probability, the word OR is a keyword that indicates the need for a sum of probabilities. True or False

Carlos is ordering takeout from a pizza restaurant that allows its takeout customers to draw one card at random from a jar on its counter. The jar usually contains a mix of coupon cards and local business cards. If all of the local business cards have been selected by other customers, leaving only coupons in the jar, what is the probability Carlos selects a coupon card from the jar? 

McMahon and Associates, an engineering firm, counted 300 cars passing through an intersection. The observations showed that 175 of the cars were traveling in the northbound/southbound lanes and 55 of those turned left at the intersection. The remaining 125 cars were traveling in the eastbound/westbound lanes and 30 of those turned left at the intersection. Use the count data to estimate the probability that a randomly chosen car arriving at the intersection is traveling in the northbound/southbound lanes or is making a left turn. 

One of the important characteristics of an experiment is that the outcome cannot be predicted with certainty before the experiment is conducted. True or False?

An aviation watchdog group has tracked 1,200 flights from three airlines. Use the results provided below to estimate the probability that a randomly chosen flight will be on time, given it is conducted by Quick Jet. 

In order to make a profit this year, an engineering firm must win two pending government contracts. The bid process is set up so that if a company wins or loses one contract, it will not affect the chance of that company winning or losing another contract. The engineering firm's CEO estimates that there is a 0.92 chance the company will win the smaller of the two contracts and a 0.66 chance of winning the larger contract. Based on these estimates, what is the probability that the firm earns a profit this year? 

Emily decides to have dinner at her favorite Chinese restaurant. The restaurant gives each diner a fortune cookie at the end of the meal. Normally, some of these cookies have a "free meal" coupon inside of them, but all of those coupon cookies have been given out for the day. Assuming that there are no more of these coupon cookies left, what is the probability that Emily will receive a cookie at the end of her meal that contains a "free meal" coupon?  

The CEO of an investment bank needs to choose four people to serve on an advisory board. There are seven qualified individuals who can serve on the board. How many different four-member advisory boards can be selected from the set of seven qualified individuals?  

In order to make a profit this year, an engineering firm must win two pending government contracts. The bid process is set up so that if a company wins or loses one contract, it will not affect the chance of that company winning or losing another contract. The engineering firm's CEO estimates that there is a 0.67 chance the company will win the smaller of the two contracts and a 0.25 chance of winning the larger contract. Based on these estimates, what is the probability that the firm earns a profit this year? 

When ordering the most basic cake available from a local bakery, there are five options for the flavor of the cake and a choice of two different kinds of icing. How many different basic cakes can be made using this ordering scheme?

The Conditional Probability formula is used to determine the probability of an event occurring assuming that some other event has occurred. True or False

Island Water Sports in Deerfield Beach, FL provides free surfing lessons on Saturdays, as long as the conditions are favorable. Last year, 12 Saturdays had bad weather for surfing lessons. On two of those Saturdays that had bad weather, there were also high levels of sea lice. The remaining 40 Saturdays had good weather for surfing lessons, but nine of those Saturdays with good weather had high levels of sea lice. Using the records from last year, estimate the probability that on a randomly chosen Saturday the weather will be bad or there will be high levels of sea lice.

If an event is certain to happen, it has a probability of 1. True or False?

A logistics company tracks the packages it has shipped to determine if the shipments arrive early (E), on-time (T), or late (L). Select the list of possible outcomes that could occur when the company tracks two randomly selected shipments.

Two events are independent if the occurrence of one of the events does not alter the likelihood that the other event occurs. True or False?

A large retailer employs 10,823 hourly employees who are female and 4,203 hourly employees who are male. Determine the probability that a randomly selected hourly employee of this retailer is female. 

A print shop prints company logos on t-shirts for its customers. The t-shirts are purchased from an overseas supplier. The shop's owner inspected 500 recently purchased t-shirts from the supplier, and she discovered that 12 of the t-shirts had defects. Use the results of the owner's inspection to estimate the probability that one randomly selected t-shirt from this supplier is not defective. 

Last year, a large U.S. bank surveyed 10,128 of its customers and found that 255 of them had mortgages that were over $570,000. Nearly three times as many of the surveyed customers had a mortgage that was under $40,000. Use the results of the bank's survey to estimate the probability that a randomly chosen customer has a mortgage that is less than $570,000. 

A real estate developer concludes that her new project has a 0.30 probability of breaking even and a 0.63 probability of earning a profit. Assuming the developer has calculated these probabilities correctly, what is the probability of the project losing money? 

The head of human resources for a medium-sized insurance company has been given the responsibility of choosing three candidates for a second round of interviews from a set of fifteen applicants who are competing for a sales position. How many unique sets of three candidates can be chosen from the set of fifteen applicants?

At their annual sales meeting for the USA, a computer manufacturer hands out 455 raffle tickets to the attending sales representatives. There are 150 sales reps from the Northeast, 75 from the Southeast, 35 from the Midwest, 100 from the Northwest, and 95 from the Southwest. If only one randomly selected attendee will win the raffle, what is the probability that a representative from the Northwest will win the raffle? 

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