Probability and Odds
Permutations/Combinations
Compound Probability
Data
Vocabulary
100
What is the probability that a person rolls a 4 on a six-sided number cube?
1/6
100
Evaluate 7!
5040
100
You clip a coin. What is the probability you flip a head first and then a head again?
1/4
100
What is the mode of the data set? 4, 5, 1, 9, 2, 7, 8, 4, 3, 4, 6
4
100
What is the possible result of an experiment called?
Outcome
200
A letter is chosen at random from the word, CYCLONE. What is the probability that a "c" is chosen?
2/7
200
Evaluate 7P3
210
200
You roll a 6 sided number cube. What is the probability of rolling a 2 or a 3?
1/6 + 1/6 = 2/6 = 1/3
200
11 people were asked how many donuts they ate last week. The results are listed below. Make a stem and leaf plot of the data. 44, 32, 46, 52, 55, 30, 71, 77, 44, 39, 38
Check with Miss K
200
What is the set of all possible outcomes called?
sample space
300
You roll a 6 sided number cube. What are the odds in favor of rolling an even number?
3/3
300
Evaluate: 10 C 4
210
300
Refer to a bag containing 7 tiles lettered, B, E, Y, O, N, C, and, E What is the probability of choosing a B, replacing it, then choosing an E?
1/7 x 2/7 = 2/49
300
A survey asked 14 1st graders how many times they pick their nose in one day. Make a histogram of the results # of Nose Picks: 0-1 2-3 4-5 6-7 Frequency: 2 4 5 3
Check with Miss K
300
What is the arrangement of objects in which order is important?
Permutation
400
You flip a coin 100 times. What is the theoretical probability a flipping a tails?
50/100 = 1/2
400
Tell whether the question can be answered using combinations or permutations. Explain your choice, then answer the question. You are required to complete 3 out of 8 works on your science menu in order to master the unit. In how many ways can you choose works?
This is a combination because order is not important. It does not matter which work I choose to do first. As long as I complete 5 I will master the unit. I could do works A, B, C or works C, B, A it doesn't matter the order. 8 C 3 = 56 ways to choose the works
400
Tell whether the events are mutually exclusive or overlapping events, then answer the question. Refer to a bag containing 7 tiles lettered, B, E, Y, O, N, C, and, E You choose a letter at random. What is the probability that you choose a "O" or a vowel?
Overlapping because O is a vowel. 1/7 + 3/7 - 1/7 = 3/7
400
Make a box-and-whisker plot for the data set then answer the question, what percent of the data is less than 17? 10, 14, 11, 19, 23, 17, 21, 9, 25
50%
400
What is ! called? Will not except exclamation mark/point
factorial
500
A bag contains 13 blue tiles, 7 red tiles, 3 purple tiles, and 2 yellow tiles. A marble is chosen at random. What is the probability of choosing a purple tile? What are the odds in favor of choosing a blue tile?
P (purple) = 3/25 Odds (blue) 13/12
500
Tell whether the question can be answered using a combination or permutation. Explain your choice, then answer the question. You have 12 favorite songs and want to make a playlist containing 5 of those songs. In how many ways can you arrange the songs?
Permutation, because order does matter. If you arrange the songs in a different order, you create a new playlist. 12 P 5 = 95,040
500
Tell whether the events are mutually exclusive or overlapping events, then answer the question. Refer to a bag containing 7 tiles lettered, B, E, Y, O, N, C, and, E You choose a letter at random, replace it, and choose a second letter. What is the probability you choose an "E" then a consonant?
Mutually exclusive because E is a vowel, not a consonant. 2/7 x 4/7 = 14/49 = 2/7
500
Make a box-and-whisker plot for the data set then answer the question, than label the median, quartiles, and inter-quartile range. 10, 14, 11, 19, 23, 17, 21, 9, 25
Median: 17 LQ: 10.5 UQ: 22 IQR: 11.5
500
Two events are ___________ events if the occurrence of one event has no effect on the occurrence of the other event.
independent
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