Simple Events
Tree Diagrams
Fundamental Counting Principle
Combinations & Permutations
Theoretical & Experimental Probability
100
A bag contains 6 red, 3 pink, and 3 white bows. Suppose you draw a bow at random. Find P(not white).
3/4
100
Make a tree diagram to find the total number of outcomes of rolling 2 number cubes.
36 outcomes
100
Use the Fundamental Counting Principle to find the total number of outcomes: tossing a quarter, rolling a number cube, and tossing a dime.
24 outcomes
100
Determine if the following is a permutation or a combination and then solve. In how many ways can five basketball players be placed in three positions?
Permutation; 60 ways
100
A coin is tossed 75 times, and it lands on tails 55 times. What is the experimental probability of the coin landing on heads?
4/15
200
What is the probability of rolling an odd number on a number cube?
1/2
200
Make a tree diagram to find the total number of outcomes of choosing an ice cream cone from waffle, plain, or sugar and a flavor of ice cream from chocolate, vanilla, or strawberry.
9 outcomes
200
Use the Fundamental Counting Principle to find the total number of outcomes: rolling two number cubes and tossing one coin
72 outcomes
200
Determine if the following is a permutation or a combination and then solve. How many groups of three kittens are possible from a litter of nine?
Combination; 84 groups
200
What is the theoretical probability of choosing a vowel from the word MATHEMATICS?
4/11
300
A dental hygienist randomly chooses a toothbrush in a drawer containing 17 white, 12 green, and 5 blue toothbrushes. What is the probability that she chooses a green toothbrush?
6/17
300
Make a tree diagram to find the total number of outcomes of making a sandwich from white, wheat, or rye bread, cheddar or Swiss cheese and ham, turkey, or roast beef.
18 outcomes
300
To run the ridge in the Bridger Mountains, you can choose two paths up the face of the first peak, four paths across the ridge, and three routes down the final peak. Find the number of ways you can run the ridge.
24 ways
300
Determine if the following is a permutation or a combination and then solve. In how many ways can you choose two items from a menu with four items?
Combination; 6 ways
300
Myron has four dimes in his wallet with dates 1998, 1995, 2002, and 2000. If he randomly picks one dime from his wallet, what is the probability that it will have a date in the 1990s?
1/2
400
A set of 12 cards is numbered 1, 2, 3, ...12. Suppose you pick a card at random without looking. Find P(a multiple of 3).
1/3
400
Make a tree diagram to find the total number of outcomes of choosing one math class from algebra and geometry and one foreign language class from French, Spanish, or Latin.
6 outcomes
400
One catalog offers a jogging suit in two colrs, gray and black. It comes in sizes S, M, L, XL, and XXL. How many possible jogging suits can be ordered?
10 jogging suits
400
Determine if the following is a permutation or a combination and then solve. In how many ways can a director and assistant director be chosen from among 4 candidates?
Permutation; 12 ways
400
A spinner is spun 50 times, and it lands on the color blue 15 times. What is the experimental probability of spinning blue?
3/10
500
A package of balloons contains 5 green, 3 yellow, 4 red, and 8 pink balloons. Suppose you reach in the package and choose one balloon at random. Find P(red or yellow balloon).
7/20
500
For Roger to reach his cattle pasture, he must pass through three consecutive gates. Any of the gates can either be open or closed. Draw a tree diagram to show all of the possible positions of the gate. How many outcomes are there?
8 outcomes
500
World Sports makes skateboards with several different patterns on the deck. You can choose one of four deck lengths and one of six types of wheels. If they advertise that they have 120 different skateboards, how many deck patterns are there?
5 patterns
500
Determine if the following is a permutation or a combination and then solve. Marina has print fabric in pink, blue, magenta, green, yellow, and tan. How many different stuffed bears can she make if each bear has only four different fabrics, and the order of the fabrics is not important?
Combination; 15 bears
500
In a survey, 50 people were asked to pick which movie they would see this weekend. Twenty chose "Horror Story", 15 chose "The Ink Well", 10 chose "The Monkey House", and 5 chose "Little Rabbit". What is the experimental probability of someone wanting to see "The Monkey House"?
1/5
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