Victoria spins the spinner shown in the diagram 60 times. Her results are as follows:
Blue: 14
Green: 12
Orange: 6
Purple: 10
Red: 10
Yellow: 8
What is the experimental probability of landing on green?
Make it a fraction
The experimental probability of landing on green can be calculated as:
Experimental Probability = Number of times green was spun / Total number of spins
Experimental Probability = 12 / 60
Therefore, the experimental probability of landing on green is 12/60 or 1/5.
A letter is to be randomly picked from the word MISSISSIPPI. Which set of letters have equal chances to be selected?(1 point)
Responses
S and I
S and I
M and P
M and P
M and I
M and I
M, I, and P
The correct answer is:
M, I, and P
Since these letters all appear the same number of times in the word "MISSISSIPPI" (1 time each), they all have equal chances of being selected.
A six-sided number cube is rolled 30 times and lands on 3 ten times and 5 eight times. Calculate the experimental probability of landing on a 3. Write the answer in the SIMPLEST form of a fraction.(1 point)
P(3) =
The experimental probability of landing on a 3 can be calculated as:
Experimental Probability = Number of times 3 was rolled / Total number of rolls
Experimental Probability = 10 / 30
Experimental Probability = 1 / 3
Therefore, the experimental probability of landing on a 3 is 1/3.
A spinner has 8 equally sized sections labeled as A, B, C, D, E, F, G, H. In 160 spins, how many times can you expect the spinner to land on a consonant?(1 point)
The spinner is expected to land on a consonant
times.
The consonants in the English alphabet are all letters except for A, E, I, O, U.
Out of the options on the spinner, the consonants are B, C, D, F, G, H. So, there are 6 consonants out of 8 options.
To find how many times you can expect the spinner to land on a consonant in 160 spins:
Expected times landing on a consonant = (Number of consonants / Total number of options) * Total number of spins
Expected times landing on a consonant = (6/8) * 160
Expected times landing on a consonant = 0.75 * 160
Expected times landing on a consonant = 120
Therefore, you can expect the spinner to land on a consonant 120 times out of 160 spins.
Nadia has 5 red cubes, 3 blue cubes, 8 yellow cubes, and 4 black cubes. She records the color cube she pulls from the bag and puts the cube back in the bag 14 times. The table below shows the frequency she pulled each color.
What are the experimental and theoretical probability of pulling a blue cube out of the bag? Enter your answer as a decimal rounded to the nearest hundredth (2 places after the decimal).
When entering responses, remember to include the ZERO before the decimal if necessary. For example, if the answer is 0.47, you must enter the zero for the answer to be counted correctly.
(2 points)
Theoretical P(blue) =
Remember to round your answer to the nearest hundredth.
To calculate the theoretical probability of pulling a blue cube out of the bag, we consider the total number of cubes in the bag and the number of blue cubes specifically.
Total number of cubes = 5 + 3 + 8 + 4 = 20
Number of blue cubes = 3
Theoretical Probability of pulling a blue cube = Number of blue cubes / Total number of cubes
Theoretical Probability of pulling a blue cube = 3 / 20
Theoretical Probability of pulling a blue cube ≈ 0.15
Therefore, the theoretical probability of pulling a blue cube out of the bag is approximately 0.15.
Experimental P(blue) =
Remember to round your answer to the nearest hundredth.