Odds/Expected Value
General Probabillities
Permutations/Counting Principle
Combinations
And/Or Problems / Sample Space
100
1. A ratio of the probability that the event will fail to occur to the probability that the event will occur. 2. A ratio of the probability that the event will occur to the probability that the event will fail to occur.
1. What are the odds against an event? 2. What are the odds for an event?
100
What is the difference between empirical and theoretical probability?
What is the fact that empirical probability is calculated from events that have occurred, while theoretical is calculated from events that have yet to occur?
100
If a first experiment can be performed in M distinct ways and a second experiment can be performed in N distinct ways, then the two experiments in that specific order can be performed in M⋅N distinct ways.
What is the Counting Principle?
100
A distinct group (or set) of objects without regard to their arrangement.
What is a combination?
100
It is impossible for both Event A and Event B to occur.
What are mutually exclusive events?
200
One die is tossed. Determine the odds against rolling a 2?
What is 5:1?
200
A multiple choice test has five possible choices for each question. If you randomly select one of the choices, what is the probability that you select the correct answer for one particular question?
What is 1/5, or 20%?
200
nPr=n!/(n-r)!
What is the Permutation Formula?
200
General Mills is testing 4 oat cereals, 5 wheat cereals, and 6 rice cereals. If it plans to market 3 of the oat cereals, 2 of the wheat cereals, and 2 of the rice cereals, how many different combinations are possible?
What is 600 combinations?
200
The probability that a heat-seeking torpedo will hit its target is 0.4. If the first tornado hits its target, the probability that the second torpedo will hit its target increases to 0.9 because of the extra heat generated by the first explosion. If two heat-seeking torpedos are fired at a target, determine the probability that the first misses the target and the second hits the target.
What is 0.54?
300
For an outdoor art and crafts show, event organizers estimate that 60,000 people will attend if it is not raining. If it is raining, event organizers estimate that 21,000 people will attend. On the day of the show, meteorologists predict a 70% chance of rain. Determine the expected number of people who will attend this show.
What is 32,700 people?
300
If the probability that an event occurs is 7/9, what is the probability that the event does NOT occur?
What is 2/9?
300
There are 10 candidates for three positions at Johnny Rockets. One position is for a cook. The second position is for a food server. The third position is for a cashier. If all 10 candidates are equally qualified for the three positions, in how many different ways can the three positions be filled?
What is 720 ways?
300
Consider a 10-question test in which each question can be answered either correctly or incorrectly. How many different ways are there to answer the questions to that eight are correct and two are incorrect?
What is 2025 ways?
300
A cooler contains 7 cans of soda; 3 colas, 3 orange, and 1 cherry. Two cans are selected at random without replacement. Find the probability that at least one can is orange.
What is 5/7?
400
Two hundred raffle tickets are sold for $3 each. One prize of $1000 is to be awarded. Raul purchases one ticket. Determine his expected value. Determine the fair price of a ticket.
What is $2.00 expectation and $5.00 fair price?
400
A traffic light is red for 25 sec, yellow for 5 sec, and green for 55 sec. What is the probability that when you reach the light, the light is green?
What is 11/17?
400
At the reception line of a wedding, the bride, the groom, the best man, the maid of honor, the four ushers, and the four bridesmaids must line up to receive the guests. If the groom is to be last in line, the bride next to the groom, and males and females are to alternate, how many arrangements are possible?
What is 14,400 ways?
400
Consider a 10-question test in which each question can be answered either correctly or incorrectly. How many different ways are there to answer the questions so that at least eight are correct?
What is 45 ways?
400
List the sample points of the following experiment. A $1, $5, and $10 are put into a hat. Two are drawn, order matters.
What is S={1-1, 1-5, 1-10, 5-1, 5-5, 5-10, 10-1, 10-5, 10-10}?
500
Four million tickets are sold for a lottery. If you purchase a ticket, find your odds against winning.
What is 3,999,999:1?
500
Determine the empirical probability of flipping a coin 20 times.
Answers may vary. Show me your work!
500
In how many ways can the letters in the word “TENNESSEE” be arranged?
What is 3780 ways?
500
A television game show has 6 doors, of which the contestant must pick 2. Behind 2 of the doors are expensive cars, and behind the other 4 doors are consolation prizes. The contestant gets to keep the items behind the 2 doors she selects. Determine the probability that the contestant wins both cars.
What is 1/15?
500
What is my office and what are my office hours?
What is LIT443 and MW 7th period (1:55p-2:45p) and H(8:30a-9:20a).