Exam 13: Probability Rules

A box contains batteries of which 48 are defective and 24 are good.You start picking batteries one at a time and testing them.What is the probability that the first four batteries you pick are all defective?

There is a huge pile of buttons in which 28% are black,14% are blue,20% are orange,22% are white,and the rest are clear.You close your eyes,choose a button at random,write down what colour it is,and then put it back in the pile.What is the probability that the third button you choose is the first one that's clear?

A high school offers these statistics: 28% of incoming students come from single-parent homes. 72% of incoming students come from two parent homes. 41% of incoming students from single parent homes eventually go on to get a college education. 56% of incoming students from two parent homes eventually go on to get a college education. What percent of incoming students eventually go on to get a college education?

A group of volunteers for a clinical trial consists of 79 women and 77 men.20 of the women and 18 of the men have high blood pressure.If one of the volunteers is selected at random find the probability that the person is a man given that they have high blood pressure.

You are dealt a hand of three cards,one at a time.Find the probability that your third card is your first ace.

You draw a card at random from a standard deck of 52 cards.Find the probability that the card is a three given that it is not a face card.

According to a survey conducted by an environmental organization,the probability that an eligible voter cares strongly about environmental issues is 0.60,the probability that an eligible voter votes regularly is 0.48 and the probability that an eligible voter both votes regularly and care strongly about environmental issues is 0.270.What is the probability that someone who cares strongly about environmental issues votes regularly?

In rolling a fair die once,the events of getting a 3 and getting a 6

Opinion-polling organizations sometimes contact their respondents by sampling random telephone numbers.Assume that interviewers can now reach about 71% of Canadian households,while the percentage of those contacted who agree to cooperate with the survey is 34%.Each household,of course,is independent of the others.What is the probability that the next household on the list will be contacted but will refuse to cooperate?

University students were given three choices of pizza toppings and asked to choose one favorite.They were also asked what year of their program they were in.The following table shows the results. toppings/year 1 st 2nd 3rd 4th cheese 10 16 21 22 meat 20 22 16 10 veggie 16 10 20 22 Among the students in their third year,what is the probability that a student responded "meat"?

You are dealt a hand of three cards,one at a time.Find the probability that your cards are all face cards.

You are dealt a hand of three cards,one at a time.Find the probability that you have at least one face card.

A study conducted at a certain college shows that 61% of the school's graduates find a job in their chosen field within a year after graduation.Find the probability that among 6 randomly selected graduates,at least one finds a job in his or her chosen field within a year of graduating.

You are dealt a hand of three cards,one at a time.Find the probability that you get no clubs.

A Canada Revenue auditor randomly selects 3 tax returns from 55 returns of which 14 contain errors.What is the probability that she selects none of those containing errors?

University students were given three choices of pizza toppings and asked to choose one favorite.They were also asked what year of their program they were in.The following table shows the results. toppings/year 1st 2nd 3rd 4th cheese 13 13 20 20 meat 29 20 13 13 veggie 13 13 29 20 If a student responded "meat",what is the probability that they are in the third year of their program?

The sale bin in a clothing store contains an assortment of t-shirts in different sizes.There are 6 small,8 medium,and 5 large shirts.Alan is looking for a large shirt.He starts grabbing shirts one at a time and checking the size.After he checks each shirt,he leaves it outside the bin.What is the probability that at least one of the first four shirts he checks is a large?

You draw a card at random from a standard deck of 52 cards.Find the probability that the card is a spade given that it is not a diamond.

In flipping a coin twice,the events of getting heads on the first flip and heads on the second flip

In a language program at a university,14% of students speak Spanish,7% speak French,and 4% speak both languages.A student is chosen at random from the college What is the probability that a student who speaks Spanish also speaks French?