EXAMPLE: The number of buttons on each of 10 shirts is shown in the probability distribution below: Number of buttons 4 5 6 Frequency 1 5 Probability 1/10 5/10 #1. Complete the missing parts of the table. #2. What is the probability that a shirt chosen at random from the set of 10 shirts has 5 buttons? #3. What is the sum of the probabilities? #4. What is the probability of randomly choosing a shirt that has more than 4 buttons from a set of 10 shirts? We finally want to learn about a type of a probability called a conditional probability. A conditional probability is the probability that an event will occur, given that another event has ALREADY occurred. You can write the conditional probability of event B, given that event A has already occurred as: The above is read as: “the probability of event B, given event A.” EXAMPLE: Opinion polls: Respondents of a poll were asked whether they were for, against or had no opinion about a bill before the state legislature that would increase the minimum wage. What is the probability that a randomly selected person is over 60 years old, given that the person had no opinion on the state bill? Age Group For Against No Opinion TOTALS 18-29 310 50 20 380 30-45 200 30 10 240 45-60 120 20 30 170 Over 60 150 20 40 210 TOTALS 780 120 100 1000 #1. What is the probability that a person randomly selected has over 60 years old given that they have no opinion? #2. What is the probability that a randomly selected person is 30-45 years old, given that the person is in favor of the minimum wage bill? #3. What is the probability that a randomly selected person is NOT 18-29, given that the person is in favor of the minimum wage bill? #4. What is the probability that a randomly selected person is AGAINST the minimum wage bill? #5. What is the probability that a randomly selected person is FOR the minimum wage bill, given that they are 30-45 years old? #6. What is the probability that a randomly selected person is 18-29 years old, given that they have no opinion of the minimum wage bill?
EXAMPLE: The number of buttons on each of 10 shirts is shown in the probability distribution below: Number of buttons 4 5 6 Frequency 1 5 Probability 1/10 5/10 #1. Complete the missing parts of the table. #2. What is the probability that a shirt chosen at random from the set of 10 shirts has 5 buttons? #3. What is the sum of the probabilities? #4. What is the probability of randomly choosing a shirt that has more than 4 buttons from a set of 10 shirts? We finally want to learn about a type of a probability called a conditional probability. A conditional probability is the probability that an event will occur, given that another event has ALREADY occurred. You can write the conditional probability of event B, given that event A has already occurred as: The above is read as: “the probability of event B, given event A.” EXAMPLE: Opinion polls: Respondents of a poll were asked whether they were for, against or had no opinion about a bill before the state legislature that would increase the minimum wage. What is the probability that a randomly selected person is over 60 years old, given that the person had no opinion on the state bill? Age Group For Against No Opinion TOTALS 18-29 310 50 20 380 30-45 200 30 10 240 45-60 120 20 30 170 Over 60 150 20 40 210 TOTALS 780 120 100 1000 #1. What is the probability that a person randomly selected has over 60 years old given that they have no opinion? #2. What is the probability that a randomly selected person is 30-45 years old, given that the person is in favor of the minimum wage bill? #3. What is the probability that a randomly selected person is NOT 18-29, given that the person is in favor of the minimum wage bill? #4. What is the probability that a randomly selected person is AGAINST the minimum wage bill? #5. What is the probability that a randomly selected person is FOR the minimum wage bill, given that they are 30-45 years old? #6. What is the probability that a randomly selected person is 18-29 years old, given that they have no opinion of the minimum wage bill?
Geometry%20--%20Chapter%2014%20Day%204%20Two%20Way%20Tables.docx