The license plates in Texas follow the same pattern when they are created:
two letters (26 in the alphabet) followed by four digits (from 0-9). ___ ___ ___ ___ ___ ___
How many license plates are possible if the letters and digits can be repeated?
Hint: you need to decide 'does order matter'?
Think about the # of options for each spot.
Consider the following probability model, it shows the probabilities associated with the number of raffle tickets purchased by each customer.
What is the probability a randomly selected customer buys 3 raffle tickets?
Consider the following probability model associated with the type of sneakers worn by high school basketball players in Massachusetts.
What is the probability a randomly selected Massachusetts high school basketball player wears Adidas OR Nike sneakers?
Consider the following probability model associated with the type of sneakers worn by high school basketball players in Massachusetts.
What is the probability a randomly selected Massachusetts high school basketball player wears Adidas AND Nike sneakers? Round your decimal to four places past the decimal point.
Two events are said to be mutually exclusive if:
The probability of picking the winning 4-digit number in a Pick 4 lottery is 1/10,000.
Each play of the lottery is independent of the next play.
Explain what it means that 'each play is independent of the next play'.
A human resources director for a large corporation claims the probability a randomly selected employee arrives to work on time is 0.75.
If we take a random sample of 4 employees, what's the probability that all of them arrive on time?
P(ontime, ontime, ontime, ontime)=
Enter your answer as a decimal.
Round your answer to three places past the decimal.
A human resources director for a large corporation claims the probability a randomly selected employee arrives to work on time is 0.75.
If we take a random sample of 4 employees, what's the probability that none of them arrive on time?
P(not ontime, not ontime, not ontime, not ontime)=
Enter your answer as a decimal.
Round your answer to three places past the decimal.
A human resources director for a large corporation claims the probability a randomly selected employee arrives to work on time is 0.75.
If we take a random sample of 4 employees, what's the probability that at least one of them arrives on time? Hint: check Lesson 4.6
Enter your answer as a decimal.
Round your answer to three places past the decimal.
A large bakery has many different products for sale.
Suppose that 200 customers come in between 6 am and 10 am.
Of the 200 customers, a total of 140 order donuts, a total of 100 order cinnamon rolls and 80 order both.
Suppose a customer is randomly selected:
a. Fill in the Venn Diagram in the 'show your work' area to model this situation. Make sure to label the circles: Donuts and Cinnamon Rolls.
b. Find P(no donuts and no cinnamon rolls):
Enter your answer as a fraction, decimal OR percent but not all three.
A large bakery has many different products for sale.
Suppose that 200 customers come in between 6 am and 10 am.
Of the 200 customers, a total of 140 order donuts, a total of 100 order cinnamon rolls and 80 order both.
Suppose a customer is randomly selected:
a. Fill in the two way table to match the scenario.
b. Find P(donuts or cinnamon rolls):
Enter your answer as a fraction, decimal OR percent but not all three.
Use the information from #10 or 11:
Given a person ordered donuts, what is the probability that they order cinnamon rolls?
Enter your answer as a decimal, round to three places.
The Blue Bottle Diner employs three dishwashers.
Al washes 40% of the dishes and breaks only 1% of those he handles.
Debra and Carl each wash 30% of the total dishes.
Debra only breaks 1% of hers, but Carl breaks 15% of the dishes he washes.
(Carl, of course, will need a new job soon...)
a. Use the recording document to create a tree diagram.
b. Find the probability that a randomly selected dish is broken by Carl.
P(broken dish by Carl)=
Enter your answer as a decimal, round to three places.
The Blue Bottle Diner employs three dishwashers.
Al washes 40% of the dishes and breaks only 1% of those he handles.
Debra and Carl each wash 30% of the total dishes.
Debra only breaks 1% of hers, but Carl breaks 15% of the dishes he washes.
(Carl, of course, will need a new job soon...)
Find the probability that a randomly selected dish...
P(broken dish by Al OR Debra OR Carl)=
Enter your answer as a decimal, round to three places.
Use the information from #14:
You go to the Blue Bottle for lunch one day.
While eating you hear a dish break at the sink, what is the probability that Carl broke the dish?
P(Carl | broken dish)=
Hint: what goes in the denominator when it is a 'given' question?
Enter your answer as a decimal, round to three places.
At the end of each week, an employer gives some vacation hours to a few randomly selected employees. There are 25 employees in the department: 11 males and 14 females.
The employer wants to know how many ways there are to give vacation hours to 6 of the employees.
Is this a permutation or a combination? Why?
Select the correct answer.
What is the correct notation for the permutation or combination from #16?
How many groups are possible for the permutation or combination from #16 & 17?
Enter your answer as a number only, no units.
At the end of each week, an employer gives some vacation hours to a few randomly selected employees. There are 25 employees in the department: 10 males and 15 females.
The employer wants to know how many groups of 3 males and 3 females are possible if she chooses 6 employees from the list at random.
Hint: this is 2 combinations
Enter your answer as a number only, no units.
Using the information from #18 & 19:
What is the probability that the employer randomly chooses 3 males and 3 females from the group of employees?
Hint: you need to create a fraction.
Enter your answer as a decimal, round to three places.
A soccer team has 12 players on the field at the end of a scoreless game.
According to the league rules, the coach must select 5 of the players and designate an order in which they will take penalty kicks.
Is this a permutation or combination? Do you think the order in which the players kick the penalty kicks matters?
#21 Continued:
How many different ways are there for the coach to create the list of 5 players to take penalty kicks?
Enter your answer as a number only, do not include units.