Finding Likelihoods
A spinner with 6 equal size sections has 3 sections labeled cat, 2 sections labeled dog, and 1 labeled hamster. What is the probability of the spinner landing on hamster?
Unlikely
A number cube with sides labeled 1, 2, 3, 4, 5 and 6 is rolled twenty times. The number 4 is rolled 5 times. What is the relative frequency of rolling a 4?
5/20 or 1/4.
Which model would you use to simulate the event of your baseball team has a 1/4 chance of winning against a AAA team this weekend?
A spinner with four equal sized sections or one coin toss?
A spinner with 4 equal sized sections
1,2,3,4,5,6
Alonzo rolls a 4 sided dice with equal red, blue green, and yellow sides 40 times. Fred spins a spinner with with 4 sections, 2 of which are larger than the other two. Which person is more likely to have an equal frequency of their results?
Alonzo
A spinner with 6 equal size sections has 3 sections labeled cat, 2 sections labeled dog, and 1 labeled hamster. What is the probability of the spinner landing on cat or hamster?
Equally Likely
How would you write the ratio 1/5 as a decimal and a percent?
0.2
20%
Data for rain on Saturday and Sunday was tracked for ten days. 2 days it rained on both days, 6 days it rained on one and not the other, and 2 days it didn't rain on either day.
According to the results of the simulation, what is the experimental probability of having not having rain on either day? Express your answer as a percent.
20%
What is the difference between relative frequency and theoretical probability?
Relative frequency is what actually happened
Theoretical probability is what should happen
Experiment 1: A spinner with equal-size sections of A, B, C, D, and E is spun 50 times.
Experiment 2: A card is randomly selected from a bag containing five A cards, three B cards, four C cards, one D card, and two E cards. The card is then placed back in the bag. There are 50 trials.
Which experiment is more likely to have varying levels of frequency with its data?
Experiment 2
The letters Y, B, N, Q, C, O, E and R are in a bag and drawn at random. Select the two events that are unlikely.
* Selecting a vowel
* Selecting a consonant
* Selecting a B or R
Selecting a vowel
Selecting a B or R
A spinner with equal-sized sections labeled A, B, C, D, E, and F is spun 24 times. A vowel was spun 9 times. What is the relative frequency of spinning a vowel?
9/24 or 3/8
Suppose the chance of rain on Saturday is 2/5 and the chance of it raining on Sunday is also 2/5. A student wants to run a simulation to estimate the probability that it will rain on both days. How could the student model the chance of it raining on each day?
1. Toss a coin twice to represent a trial. Assign heads to represent rain.
2. Roll a six-sided number cube twice to represent a full trial. Assign sides 1-3 as rain.
3. Spin a spinner with five equal-size sections twice to represent a full trial. Assign two sections for rain.
4. Spin a spinner with five equal-size sections twice to represent a full trial. Assign three sections for rain.
3. Spin a spinner with five equal sections twice to represent a full trial. Assign two sections for rain.
Each letter in the word PROBABILITY is placed in a bag. A letter is drawn at random. What letters are in the sample space?
P, R, O, B, A, I, L, T, Y
Suppose Evan selects a number at random from the numbers shown.
1, 2, 3, 5, 2, 5, 7, 6
How much less is the probability that Evan will select an even number than an odd number? Express your answer as a decimal.
0.25
The letters A, B, K, Q, S, O, E and R are in a bag and drawn at random. Select the two events that are equally likely to happen as not to happen.
* Selecting the letter Q, R, B, or K
* Selecting a vowel or S
* Selecting a consonant or A
Selecting a vowel or S
Selecting the letter Q, R, B, or K
Track - 4
Football- 21
Band - 13
What is the relative frequency of a favorite activity being either track or football? Answer should be decimal, fraction and percent.
1/3
0.33
33%
A spinner has 8 equal sized sections. Arrange the possibilities below in order from least likely to most likely.
spinning a 5
spinning a 3 or 4
spinning a number greater than 2
spinning an odd number
spinning a 5
spinning a 3 or 4
spinning an odd number
spinning a number greater than 2
Suppose you tossed a coin 20 times and recorded the results.
Heads- 17
Tails - 3
What is the theoretical probability of tossing tails?
1/2
Favorite stuffed animals of a child are tallied.
Bunny - 14
Fox -10
Hedgehog- 18
Owl- 16
Raccoon -22
If he has to choose one animal from the store without looking, how much greater is the probability that he will choose one of his least favorite animals than one of his favorite animals? Express your answer as a percent.
15%
A spinner with 8 equal sections is labeled with prizes that can be won. 5 sections are labeled hat, two labeled yo-yo, and 1 labeled key chain. The spinner is spun once. Order the prizes a person can win based on the likelihood of spinning that prize from least likely to most likely.
Key chain, yo-yo, hat
Favorite household pets were surveyed.
12 chose dog, 11 chose cat, 6 chose bird, 5 chose fish and 6 chose other.
What is the relative frequency of a student's favorite animal being a dog or cat? Your answer should be a percent rounded to the nearest tenth.
57.5%
Suppose a 2 is rolled on a number cube with sides numbered 1, 2, 3, 4, 5, and 6.
Which outcome(s) make up the complement of this event? Select all that apply.
Rolling a 1
Rolling a 2
Rolling a 3
Rolling a 4
Rolling a 5
Rolling a 6
1,3,4,5,6
A spinner with eight equal sized sections labeled 1 through 8 is spun 600 times. How many spins of a number less than 4 can be expected?
225
These are the number of coins in a piggy bank.
Penny - 5
Nickel- 6
Dime - 10
Quarter - 4
Suppose Lamar chooses a coin without looking. How much greater is the probability that he will choose a coin worth at least 10 cents than a coin worth less than 10 cents? Express your answer as a percent.
12%