Probability
Samples
Counting Outcomes
Permutations and Combinations
Compound Probability
100
There are 2 blue marbles, 5 red marbles, and 8 green marbles in a bag. Find the following probability: P(red)
1/3
100
Out of 1200 people surveyed for favorite hobby, 25% said watching TV, 26% said listening to music, 27% said sports, 9% said reading, and 13% said other. How many people preffered watching TV?
300 people
100
2 coins are tossed.
4
100
From a group of 5 friends, how can the first 4 people be arranged in a line?
120 ways
100
There are 5 yellow marbles, 1 purple marble, 3 green marbles, and 3 red marbles in a bag. Once they are picked they are replaced in the bag. Find the following Probability: P(purple then red)
1/48
200
There are 2 blue marbles, 5 red marbles, and 8 green marbles in a bag. Find the following probability: P(blue or green)
2/3
200
Out of 1200 people surveyed for favorite hobby, 25% said watching TV, 26% said listening to music, 27% said sports, 9% said reading, and 13% said other. How many people preffered reading?
108 people
200
You can choose vanilla or chocolate ice cream with stawberry, chocolate, or caramel topping.
6
200
In a race with 7 runners, how many ways can the runners finsih first, second, and third?
210 ways
200
There are 5 yellow marbles, 1 purple marble, 3 green marbles, and 3 red marbles in a bag. Once they are picked they are replaced in the bag. Find the following Probability: P(red then yellow)
5/48
300
There are 2 blue marbles, 5 red marbles, and 8 green marbles in a bag. Find the following probability: P(not blue)
13/15
300
Identify the type of sample: To determine if a new library would be useful, all students whose ID number ended with a 2 were surveyed.
unbiased, simple random sample.
300
A number cube is rolled 4 times.
1296
300
There are 15 contestants in a spelling bee. How many ways can they finish in the top 4 spots?
32,760 ways
300
There are 5 yellow marbles, 1 purple marble, 3 green marbles, and 3 red marbles in a bag. Once they are picked they are replaced in the bag. Find the following Probability: P(two green in a row)
1/16
400
A coin is flipped 50 times. It lands on heads 30 times. What is the experimental probability of landing on heads?
3/5
400
To determine the quality of cell phones off the assembly line, the manager chooses one phone every 20 minutes to check for defects.
unbiased, systematic random sample
400
A coin is tossed and a spinner with 4 sections is spun.
8
400
The baseball team wants to practice only two days next week, Monday through Friday. How many different schedules can be made?
10
400
A card is drawn from a standard deck of cards (52 cards). Once the card is drawn it is not replaced. Find the following probability: P(2 red cards)
25/98
500
A coin is flipped 50 times. It lands on heads 22 times. What is the experimental probability of landing on tails?
14/25
500
To determine the popularity of a band, a magazine asks teens to visit their website to complete a survey.
Biased, voluntary response.
500
You can choose blue or black socks, tan or black pants, and a red, blue, or green shirt.
12
500
A group of students are designing a new flag with the colors blue, white, red, black, and gold. In how many ways can they choose three colors for the flag?
10 ways
500
A card is drawn from a standard deck of cards (52 cards). Once the card is drawn it is not replaced. Find the following probability: P(2 Aces)
1/221