Use the table to answer the question.
Colors Where the Spinner Stopped Frequency
blue 20
red 15
green 45
yellow 10
black 15
white 45
Total 150
A color wheel with six equal sections, blue, red, green, yellow, black, and white, was spun 150 times. The results are summarized in the table.
What is the experimental probability of landing on white? Express your answer in percent form.(1 point)
The experimental probability of landing on white can be calculated by dividing the frequency of white by the total number of spins and then multiplying by 100 to convert it to a percentage.
Experimental Probability of Landing on White = (Frequency of White / Total Spins) * 100
Experimental Probability of Landing on White = (45 / 150) * 100
Experimental Probability of Landing on White = (0.3) * 100
Experimental Probability of Landing on White = 30%
Therefore, the experimental probability of landing on white is 30%.
A six-sided number cube is to be rolled 30 times. How many times do you expect to roll on an even number?(1 point)
An unbiased six-sided number cube has 3 even numbers (2, 4, 6) out of a total of 6 numbers.
The probability of rolling an even number is therefore 3/6 = 0.5.
To find the expected number of times an even number will be rolled out of 30 rolls, we multiply the probability of rolling an even number by the total number of rolls:
Expected number of times an even number will be rolled = Probability of rolling an even number * Total number of rolls
Expected number of times an even number will be rolled = 0.5 * 30
Expected number of times an even number will be rolled = 15
Therefore, you can expect to roll an even number 15 times out of 30 rolls.
A survey was conducted with 150 respondents that asked about their favorite activities during winter. There were 30 people who favored building a snowman, 80 people who liked skiing, and 40 who preferred sledding. What is the experimental probability that someone’s favorite activity is sledding? Write your answer in the simplest form of fraction.(1 point)
The experimental probability of someone's favorite activity being sledding can be calculated by dividing the number of respondents who preferred sledding by the total number of respondents.
Experimental Probability of Favorite Activity being sledding = Number of respondents who preferred sledding / Total number of respondents
Experimental Probability of Favorite Activity being sledding = 40 / 150
Experimental Probability of Favorite Activity being sledding = 4 / 15
Therefore, the experimental probability that someone's favorite activity is sledding is 4/15.
Mrs. Baker’s students write word problems each week, and she selects one student's word problem to display on a bulletin board each week. Each student's name is placed in a bag from which Mrs. Baker draws a name. What is the probability that an eighth grade student will NOT be selected?
EXPLAIN your process and give your answer as a % or simplified fraction.
Students: Arthur, Jeff, Anita, Mitara, Saree, Bryan, Michael, Susan, Maria
Grade: 7, 6, 7, 8, 8, 7, 8, 6, 6
To determine the probability that an eighth grade student will not be selected, we first have to find out how many eighth grade students there are and how many total students there are.
There are a total of 9 students, with 3 being eighth graders (Mitara, Saree, Maria).
The probability of selecting an eighth grade student is the number of eighth graders divided by the total number of students:
Probability of selecting an eighth grade student = Number of eighth graders / Total number of students
Probability of selecting an eighth grade student = 3 / 9
Probability of selecting an eighth grade student = 1/3
The probability of not selecting an eighth grade student is the complement of the probability of selecting an eighth grade student:
Probability of not selecting an eighth grade student = 1 - Probability of selecting an eighth grade student
Probability of not selecting an eighth grade student = 1 - 1/3
Probability of not selecting an eighth grade student = 2/3
Therefore, the probability that an eighth grade student will not be selected is 2/3 or approximately 66.67%.
You toss a coin 50 times and get 14 tails. What is the experimental probability of getting heads?(1 point)
Responses
28%
28%
725
7 over 25
72%
72%
0.36
The experimental probability of getting heads can be calculated by subtracting the number of tails obtained from the total number of tosses and then dividing by the total number of tosses.
Number of heads = Total tosses - Number of tails
Number of heads = 50 - 14
Number of heads = 36
Experimental Probability of getting heads = Number of heads / Total tosses
Experimental Probability of getting heads = 36 / 50
Experimental Probability of getting heads = 0.72 or 72%
Therefore, the experimental probability of getting heads is 72%.
Bob spun a spinner with 6 equal sections 150 times and recorded the results. What is the experimental probability of landing on green?
Colors where the spinner stopped: Blue, red, green, yellow, black, white
Frequency: 20, 15, 45, 10, 15, 45 Total; 150
(1 point)
Responses
45%
45%
30%
30%
3%
3%
0.45%