1
Identify the sample space of the probability experiment:
Experiment: Rolling two six-sided dice
Yup
Classify the statement as an example of classical probability, empirical probability, or subjective probability. Explain your reasoning.
The probability of choosing six numbers from 1 to 40 that match the six numbers drawn by a state lottery is 1/3838380 or about .000026%
Classical, because each outcome is equally likely to occur.
Identify the sample space of the probability experiment:
Experiment: Tossing four coins
Classify the statement as an example of classical probability, empirical probability, or subjective probability. Explain your reasoning.
The probability of your phone ringing during third block is 0.2
Subjective probability, this is most likely based on an educated guess.
Decide whether the event is a simple event or not. Explain your reasoning.
You roll a six-sided die. Event A is rolling at least a 5
Not Simple, there is more than 1 outcome in the event (event: 5 or 6)
A person who took the July 2012 California Bar Examination is randomly selected. Find the probability of selecting someone who failed the exam, given that the student took the exam for the first time.
2058/6485
Decide whether the event is a simple event or not. Explain your reasoning
You randomly select a number between 1 and 1000. Event B is selecting 812.
Simple, there is only 1 outcome in the event (event: 812)
A person who took the July 2012 California Bar Examination is randomly selected. Find the probability of selecting someone who repeated and passed the exam
407/8737
A person who took the July 2012 California Bar Examination is randomly selected. Find the probability of selecting someone who passed the exam.
4834/8737
A person who took the July 2012 California Bar Examination is randomly selected. Find the probability of selecting someone who repeated the exam, given that the student passed.
407/4834
You select a card from a standard deck replace it and then draw another card. Find the probability that you draw a king and then spade.
52/2704
You select a card from a standard deck. Find the probability that the card is a king or a spade.
16/52
Decide if the events are independent or dependent. Explain your reasoning.
Event A: Taking a driver’s education course.
Event B: Passing the driver’s license exam.
They are dependent events because taking driver’s education affects the outcome of passing the driver’s license exam.
Decide if the events are mutually exclusive. Explain your reasoning.
Event A: Randomly select a red jellybean from a jar.
Event B: Randomly select a yellow jellybean from the same jar.
Yes, they are mutually exclusive events because a jellybean cannot be red and yellow at the same time.
A person who took the July 2012 California Bar Examination is randomly selected. Find the probability of selecting someone who passed the exam or repeated the exam.
6679/8737
A 12-sided die, numbered 1 to 12, is rolled. Find the probability that the roll results in an odd number or a number less than 4.
7/12
The probability that a skateboarder lands a trick is 0.65.
a.) Find the probability that none of the next three tricks are landed.
b.) Find the probability that at least one of next three tricks are landed.
a.) 4.2875%
b.) 95.73125%
In how many different orders could we watch 6 movies?
720
How many distinguishable permutations do I get from the word, “MISSISSIPPI”?
34,650
How many different ways can a person choose to eat a dinner if they must pick 1 TV dinner out of a freezer with 8, 2 types of fruit if they have an apple, an orange and a banana, and 1 drink if they have pop, juice, or milk? Hint: Assume the order you eat the fruit in does not count as a “different” meal.
72 ways
How many different ways can Coach V. choose a group of 5 players out of 14 to go out on the floor?
2002
There are 26 students in the third block Statistics class. How many ways can the students finish first, second, and third when racing to turn in their assignments?
15600
You are designing a pair of shoes. You can choose from four different heal heights, twelve different colors, two different widths, and 16 different sizes. How many different ways can you design a shoe?
1536
A full house consists of three of one kind and two of another kind. You are dealt a hand of five cards from a standard deck of 52 playing cards. Find the number of ways to be dealt a full house consisting of three kings and two queens.
24
A corporation has six male senior executives and four female senior executives. Four senior executives are chosen at random to attend a technology seminar. What is the probability of choosing two men and two women?
42.86%