Experimental Probability & Theoretical Probability
Fundamental Counting Principle
Combination & Permutations
Odds
100
What is the probability of getting 3 or more correct?
.345
100
A ball was randomly drawn from a bag and then replaced. In 300 experiments, a green ball was chosen 58 times, a red ball was chosen 118 times, a yellow ball was chosen 99 times, and a blue ball was chosen 25 times. What is the probability of choosing a yellow ball?
.33 or 33%
100
Student ID codes at a university contain two letters followed by two digits (0-9) and then another two letters. All of the codes are equally likely. Find the number of possible student ID codes.
26 * 26 * 10 * 10 * 26 * 26=
45,697,600 possible ID codes
100
Maureen has 7 different plants that she wants to plant in a row in her flower bed. How man different ways can she arrange the plant?
(Think: Does order matter in this example?)
nPr=7P7
5,040 different ways she can arrange the plant
100
If the odds of winning a free meal at a restaurant are 1:356, what is the probability of winning?
1/357
200
What is Trisha's probability of failing this part of the exam (getting fewer than 2 correct)?
.296
200
A researcher conducted a survey of 425 high school students and found that 356 of them planned to attend college. Estimate to the nearest percent the probability that a randomly selected student plans to attend college.
84%
200
A store sells 3 different styles of fleece jackets in 8 different colors. Each style can also be purchased with or without a hood. How many different versions of fleece jackets does the store sell?
24 different versions of fleece jackets
200
If Maureen decides she only has room for 3 of the 7 plants in her flower bed, how many different selections of 3 plants does she have to choose from?
(Think: Does order matter?)
nCr=7C3
35 different selections of 3 plants.
200
If 5 of the first 175 customers that arrive at a boat sale will win free lifejackets, what are the odds against winning?
170:5
300
Ariel made a snack mix by mixing 30 raisins, 45 peanuts, and 15 marshmallows. If she randomly selects two pieces from her snack mix, what is the probability they will both be peanuts?
(45/90) x (44/89)= .25 or 25%
300
An experiment consists of rolling a fair eight-sided die.
What is the probability of rolling a 3, 4, or 5?
3/8
300
Baskin-Robbins has 31 flavors of ice cream and 2 choices of cones (waffle or sugar). How many different ice creams cones can you choose from at Baskin-Robbins?
31 * 2= 62 different cones
300
Find the number of arrangements that can be made if we were all to stand in a straight line.
Christopher has collected 30 contest game pieces. Of those, 4 were winning pieces. What are the odds against winning a prize?
26:4
400
A fair die is rolled twice. What is the probability of getting 4 the first time but not the second time?
(1/6) x (5/6)= 5/36
400
The PIN numbers for a cash card at a bank contain four digits (1-9). All codes are equally likely. Find the number of possible PIN numbers.
9 * 9 * 9 * 9= 6,561 possible PIN numbers
400
Find the number of different 4 person teams that can be made from 14 people?
nCr=14C4
1,001 different teams can be made
400
The odds of winning a prize at the Valentine's dance tonight are 1:12. What is the probability of winning a prize tonight?
1/13
500
Our class ordered 7 pizzas, 3 are pepperoni, 2 are mushrooms, and 2 are cheese. The boxes are not labeled. What is the probability that the first box opened will NOT contain a pepperoni pizza?
4/7
500
There is a jar with 10 nickels, 5 dimes, and 6 quarters. If three coins are chosen at random, what is the probability of choosing all quarter?
(6/21) x (5/20) x (4/19)= .015 or 1.5%
500
The flavors at an ice cream shop are chocolate, vanilla, mint, and strawberry. The cone choices are waffle or sugar. Describe all of the different ice cream cone options available.
8 different ice cream cone options available.
500
6 swimmers are competing in the 100-yard butterfly. In how many different orders can all of the swimmers finish the race?
nPr=6P6
720 different orders
500
If the probability of winning this jeopardy game is 1/4. What are the odds in favor of winning?