Probability Questions and Answers

The Hiking Club plans to go camping in a State park where the probability of rain on any given day is 58 What is the probability that it will rain on exactly zero of the three days they are there Round your answer to the nearest thousandth

Al changes 3 A five question multiple choice quiz has five choices for each answer Use the random number table provided with 0 s representing incorrect answers 1 s representing correct answers to answer the following question What is the probability of correctly guessing at random exactly one correct answer Round your answer to the nearest whole number Random Number Table 10000 11111 01000 10011 01101 10111 10110 11110 11100 11100 11100 10010 01100 11101 10000 00111 10110 11000

A large white canvas 9 x 21 has two triangles painted on it one with a base of 1 and height of 3 and the other with a right triangle with a hypotenuse of 5 and a side of 3 What is the probability of throwing a drop of paint into one of the triangles O 1 9 O 12 O 4 0 O 14

A lottery consists of 36 numbers You must pick the six winning numbers to win What is the chance of you winning Enter your answer as an exact value Type an integer or a simplified fraction

A lottery consists of 36 numbers You must pick the six winning numbers to win What is the chance of you winning Enter your answer as an exact value Type an integer or a simplified fraction

Internet Use in 2000 The following pie chart shows the percentage of the population that used the Internet in 2000 broken down further by family income and based on a survey taken in August 2000 35 000 Internet user 11 35 000 Nonuser 24 35 000 Internet user 35 35 000 Nonuser 30 a Determine the probability that a randomly chosen person was an Internet user given that his or her family income was less than 35 000 Round your answer to two decimal places 0 27 MY NOTES ASK YOUR TEACHER b Based on the data was a person more likely to be an Internet user if his or her family income was less than 35 000 or 35 000 or more Support your answer by citing the relevant conditional probabilities Round your answers to two decimal pla By comparing P Internet user 35 000 with P Internet user 2 35 000 it can be determined a person is more likely to be an Internet user if his or her family income was less than 35 000

A company has 9000 arrivals of Internet traffic over a period of 21 060 thousandths of a minute Let the random variable x represent the number of such Internet e traffic arrivals in one thousandth of a minute It appears that these Internet arrivals have a Poisson distribution If we want to use the formula P x find the probability of exactly 4 arrivals in one thousandth of a minute what are the values of x and e that would be used in that formula P Round to three decimal places as needed to

Type the correct answer in each box Spell all words correctly and use numerals instead of words for numbers The coach of a soccer team is determining which of the team s three goalies will play in today s game The weather forecast gives a 100 chance of rain and the team needs to win or tie to stay in the tournament The coach compiled data on goalie performance during rain given in the table below April Tony Conner April Tony Based on the data given calculate the win or tie percentage in rain for each goalie Conner 96 96 Games Won in Rain Games Tied in Rain Games Lost in Rain 6 3 6 5 7 4 4 10 6

A single serving coffee machine is programmed to dispense 8 ounces of coffee per serving Occasionally the machine will start to overfill or underfill cups of coffee and require recalibration According to the company the coffee machine requires recalibration if it overfills or underfills cups of coffee by 1 or more ounces Determine the probability that a randomly selected cup of coffee was underfilled or overfilled by more than 1 ounces Assume the distribution of the amounts of all coffee dispensed by the machine are normally distributed with a mean of 8 ounces and a standard deviation of 1 75 ounces The probability that a randomly selected cup of coffee is overfilled or underfilled by 1 ounces is

Instead of using the values 1 2 3 4 5 6 on dice suppose a pair of dice have the following 1 2 2 3 3 4 on one die and 1 3 4 5 6 8 on the other Find the probability of rolling a sum of 7 with these dice Be sure to reduce

Hal earns a B on 75 of his tests He divides a spinner into 12 equal spaces to model the grades he earns on his tests with nine of the spaces representing a B Which statement about his model is true OA His model can be improved the most by using eight of the spaces to represent a B B His model can be improved the most by using every third space on the spinner to represent a B OC His model cannot be improved OD His model can be improved the most by dividing the spinner into 15 equal spaces

Based on probability and if it is appropriate for a decision to be left up to chance choose every situation that is both statistically fair an morally fair Situation 1 Situation 2 A high school student is deciding whether to first clean his room or do his homework He decides by picking a tile at random from a bag of lettered tiles If he picks a consonant he will clean his room and if he picks a vowel he will do his homework Situation 3 There are four candidates eligible for a vacancy at a company Ignoring qualifications and experience the recruitment manager decides which candidate to hire by writing their names on pieces of paper shuffling the papers and drawing one at random Five cousins are deciding which board game to play They each write their preferred game on a different section of a spinner that has five equally sized sections They spin the spinner and will play the game written on the section where the spinner lands To determine who can choose the spot for a picnic Kate picks a tile at random Situation 4 from a collection of five tiles numbered 2 through 6 Kate chooses the spot if she picks a prime number and Charles chooses if Kate picks a composite number Five roommates all want to attend an event but they only have four invites To decide who will attend they shuffle a set of five cards consisting of four aces and a king Each roommate is randomly dealt a card The ones dealt an ace will attend Situation 5 the event

Convert the two way table to a relative frequency table Has siblings Does not have siblings Rides the bus to school Does not ride the bus to school Has siblings Does not have siblings Has siblings 122 10 Does not have siblings Rides the bus to school Value here Does not ride the bus to school Value here Rides the bus to school Value here Does not ride the bus to school Value here 64 4 1 0 32 2 0 02 3 0 25 4 0 10 5 0 05 6 0 45 7 0 75 8 0 61

0 A survey asks 1500 workers Has the economy forced you to reduce the amount of vacation you plan to take this year Forty one percent of those surveyed say they are reducing the amount of vacation Twenty workers participating in the survey are randomly selected The random variable represents the number of workers who are reducing the amount of vacation Decide whether the experiment is a binomial experiment If it is identify a success specify the values of n p and q and list the possible values of the random variable x spolity and value 1 TELL CHRIVE USUW aitu sirmarry die DASS I your VILE A n 20 OB This is not a binomial experiment Specify the value of p Select the correct choice below and fill in any answer boxes in your choice OA p B This is not a binomial experiment Type an integer or a decimal

The positions on a lacrosse team are called defenders D midfielders M and attackers A One player is chosen at random to lead the team in exercises before each game The letters MDD mean that a midfielder was chosen at the first game and a defender was chosen at the next two games The list of all possible outcomes is shown where each outcome has equal probability of occurring AAA AMA ADA MAA MMA MDA AAM AMM ADM MAM MMM MDM AAD AMD ADD MAD MMD MDD What is the probability that a defender is chosen at least once given that a midfielder is chosen at the first game O A O B 19 DAA DMA DDA DAM DMM DDM DAD DMD DDD 113

4 Consider the following scenarios using two strings Part A Is it possible to construct a square with the two strings Explain your answer Part B Is it possible to construct a rectangle with the two strings Explain your answer