What is the probability that he will be selected in one of the firms?
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An engineering graduate applies for a job in two firms $X$ and Y$ The
one of his applications being rejected is 0.4. What is the probability that he will be selected in one of the
firms?
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- Suppose that the probability that Bob has a flat tire is 20 %. Also, suppose that the probability that Bob has both a flat tire and a transmission failure is 16 %. Find the probability Bob will have a transmission failure if he has a flat tire.The probability of success of three students X, Y and Z in the one examination respectively. are 1/5, 1/4 and 1/3 Find the probability of success of at least two.A tennis match of best of 5 sets is played by two players A and B. The probability that first set is won by A is 1/2 and if he loses the first, then probability of his winning the next set is 1/4, otherwise it remains same. Find the probability that A wins the match.
- Over the weekend, Ashley has to finish her statistics and mathematics assignments. The probability that she will finish the statistics assignment is 0.65, the probability that she will finish the mathematics assignment is 0.70, and the probability that she will finish both assignments is 0.40. What is the probability that Ashley will: (a) not finish the mathematics assignment given that she has finished the statistics assignment. (b) finish the mathematics assignment given that she has not finished the statistics assignment.A person died prematurely, find the probability with which he could have been a heavy smoker given the following data: Off all people: 50% of people don't smoke, 20% are light smokers & 30% are heavy smokers. Heavy smokers are twice as likely to die prematurely as light smokers, light (6 marks) smokers are twice as likely to die prematurely as nonsmokers.Pedro has just entered university and has been informed that there is a 30% chance of receiving a scholarship. In the case of obtaining it, the probability of obtaining a degree is 0.85, while in the case of not obtaining it, the probability of obtaining a degree is only 0.45. Tell Peter what the probability is that he will graduate.
- The probability that car sales will increase next month is 0.45. The probability that sale of auto parts will increase next month is 0.35. The probability that both the industries will experience an increase in sales is estimated to be 0.25 If the auto parts sales have increased, find the probability that car sales will also increase during the month. Find the probability that neither car sales nor auto parts sales increased during the month?A professional basketball player is a poor free-throw shooter. Consider situations in which he shoots a pair of free throws. The probability that he makes the first free throw is 0.51. Given that he makes the first, suppose the probability that he makes the second is 0.59. Given that he misses the first, suppose the probability that he makes the second one is 0.36. What is the probability that he makes one of the two free throws?An insurance company offers a $50,000 life insurance policy to people age 30 for $200. The offer the same policy to 50 year olds for $300. If the probability a 30 year olds dies within one year is 0.0018, and the probability of someone 50 years of age is 0.0049 explain which policies the insurance company will make the largest profit.
- At a restaurant, the probability that a person ordering coffee will ask for cream is 0.54. The probability that the customer will ask for sugar is 0.77. The probability that the customer will order both cream and sugar is 0.48.If a person orders coffee, what is the probability that the customer will ask for neither cream nor sugar?The probability that a person in the US has type B positive blood is 10%. Three unrelated people in the US are selected at random. Find the probability that all three have B positive blood.Ali has taken two books with him for holiday. The probability of liking the first book is 0.5, the probability of liking the second book is 0.4, the probability of liking both books is 0.3. What is the probability that Ali does not like both books?
