Probability of Simple Events
Theoretical/Experimental Probability
Probability of Independent/Dependent Events
Sample Space / Fundamental Counting Principle
Permutations
100
In a bag of 18 marbles, 5 are red, 4 are blue, 6 are green, and 3 are yellow. What is the probability of randomly choosing a green marble?
6/18 = 1/3
100
Determining the probability of a coin landing heads up by actually tossing a coin several times is an example of _____.
Experimental Probability
100
True or false: Rolling 2 number cubes is an example of independent events.
True
100
The sandwich shop offers a lunch special with 2 choices of bread (white or wheat), 2 types of meat (turkey or ham) and 1 type of cheese (american). Make a tree diagram to show the sample space. Then give the total number of outcomes
There are 4 outcomes: White + Turkey + American White + Ham + American Wheat + Turkey + American Wheat + Ham + American
100
Find the number of ways a family of 5 can stand next to each other for a photograph.
5 x 4 x 3 x 2 x 1 = 120
200
A spinner with 4 equal sections marked 1, 2, 3, 4 is spun. What is the probability of spinning and landing on 1?
1/4
200
What is the theoretical probability of rolling a 4 on a regular 6-sided number cube?
1/6
200
Spinning a spinner and rolling a number cube are examples of dependent events?
False
200
What is the difference between finding the sample space and using the Fundamental Counting Principle?
The sample space tells you exactly WHAT the outcomes are but using the Fundamental Counting Principle tells you HOW MANY outcomes there are.
200
What is the number of possible ways for four people to finish 1st, 2nd, 3rd, and 4th in a race?
4 x 3 x 2 x 1 = 24
300
John has a drawer full of socks: 8 are striped, 10 are solid, and 2 are multicolored. What is the chance of him randomly selecting a striped sock?
8/20 = 4/10 = 2/5
300
Trevor rolls a number cube 30 times. He records his results and finds that he lands on 3 and 6 the most times. He landed on three 9 times and on six 12 times. What is the experimental probability that he landed on three?
9/30 = 3/10
300
Tyler has a bag of 9 marbles: 4 blue and 5 red. What is the probability that he randomly selects a blue marble, puts the marble back, and selects another blue marble?
16/81
300
A music store has 2 new pop CDs, 3 new rap CDs, and 2 new rock CDs in this week. If you purchase 1 of each type, how many combinations are there?
2 x 3 x 2 = 12
300
Jacie, Tamella, Yolanda and Madison are in a race. What is the probability that Jacie will come in first?
1/24
400
A spinner with 4 equal sections marked 1, 2, 3, 4 is spun. What is the probability of spinning and landing on 1 or 2?
2/4 = 1/2
400
Trevor rolls a number cube 30 times. He records his results and finds that he lands on 3 and 6 the most times. He landed on three 9 times and on six 12 times. What is the experimental probability that he landed on six?
12/30 = 4/10 = 2/5
400
Heidi rolls a number cube and spins a spinner with sections numbered 1 - 4. What is the probability that she rolls a 6 on the cube and then spins a 6 on the spinner?
0/24 = 0 NO CHANCE
400
Two coins are tossed and a number cube is rolled. How many outcomes are possible?
2 x 2 x 6 = 24
400
A baseball team has 15 players, but there are only 9 positions. How many different choices are there for how to put 9 players on the field?
15 x 14 x 13 x 12 x 11 x 10 x 9 x 8 x 7 = 1,816,214,400
500
Julia rolls a 10-sided number cube. What is the probability of rolling a a multiple of 5 or an even number?
6/10 = 3/5
500
What is the difference between theoretical probability and experimental probability?
Theoretical probability is what you EXPECT to happen. Experimental probability is what ACTUALLY happens. The more times you perform an experiment, the closer it will be to the theoretical probability.
500
Tre has 15 cards: 8 purple hearts, 3 red hearts, and 4 blue hearts. What is the probability that he selects a red heart card, does not replace it, and then selects a blue heart?
12/210 = 6/105 = 2/35
500
A sporting goods store sells ball caps in four sizes: S, M, L, and XL. Each hat is available in 5 colors and can be purchased with or without a logo. Find the number of combinations available.
4 x 5 x 2 = 40
500
P(29, 3)
29 x 28 x 27 = 21, 924
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