A spinner is divided into five colored sections that are not of equal size: red, blue, green, yellow, and purple. The spinner is spun several times, and the results are recorded below:Spinner ResultsColor FrequencyRed 20Blue 9Green 19Yellow 14Purple 14Based on these results, express the probability that the next spin will land on red or green or purple as a decimal to the nearest hundredth.
Question
A spinner is divided into five colored sections that are not of equal size: red, blue, green, yellow, and purple. The spinner is spun several times, and the results are recorded below:Spinner ResultsColor FrequencyRed 20Blue 9Green 19Yellow 14Purple 14Based on these results, express the probability that the next spin will land on red or green or purple as a decimal to the nearest hundredth.
Solution
To solve this problem, we first need to find the total number of spins. We do this by adding up the frequency of each color:
Red: 20 Blue: 9 Green: 19 Yellow: 14 Purple: 14
Total spins = 20 + 9 + 19 + 14 + 14 = 76
Next, we need to find the total frequency of the colors red, green, and purple:
Red: 20 Green: 19 Purple: 14
Total frequency of red, green, and purple = 20 + 19 + 14 = 53
The probability of the next spin landing on red, green, or purple is the total frequency of these colors divided by the total number of spins.
So, Probability = 53 / 76 = 0.6973684210526315
Rounding this to the nearest hundredth, we get 0.70. So, the probability that the next spin will land on red, green, or purple is 0.70.
Similar Questions
A spinner with 5 equally sized slices has 3 red slices, 1 yellow slice, and 1 blue slice. Rachel spun the dial 500 times and got the following results.Outcome Red Yellow BlueNumber of Spins 319 102 79Answer the following. Round your answers to the nearest thousandths.(a)From Rachel's results, compute the experimental probability of landing on yellow.(b)Assuming that the spinner is fair, compute the theoretical probability of landing on yellow.(c)Assuming that the spinner is fair, choose the statement below that is true.
The spinner below shows 10 equally sized slices. Keiko spun the dial 150 times and got the following results.Outcome White Grey BlackNumber of Spins 68 46 36Fill in the table below. Round your answers to the nearest thousandth.(a) Assuming that the spinner is fair, compute the theoretical probability of landing on white.(b) From Keiko's results, compute the experimental probability of landing on white.(c) Assuming that the spinner is fair, choose the statement below that is true:The smaller the number of spins, the greater the likelihood that the experimental probability will be close to the theoretical probability.The experimental probability will never be very close to the theoretical probability, no matter the number of spins.The larger the number of spins, the greater the likelihood that the experimental probability will be close to the theoretical probability.
How many different possible outcomes are there if you spin 2 spinners labeled Red, Blue, Yellow, Green?
There are two spinners containing only white and yellow slices.Spinner A has 9 yellow slices and 6 white slices.All the slices are the same size.Spinner B has 11 yellow slices and 9 white slices.All the slices are the same size.Each spinner is spun.List these events from least likely to most likely.Event 1: Spinner B lands on a yellow slice.Event 2: Spinner A lands on a yellow slice.Event 3: Spinner A lands on a blue slice.Event 4: Spinner B lands on a yellow or white slice.Least likely Most likelyEvent , Event , Event , Event
Let's say there is a wheel that is split into 9 numbered sections (labelled 1 – 9). Below is the table of how many times the spinner landed on each number after numerous spins.spinner number: 1 2 3 4 5 6 7 8 9result: 12 35 72 29 40 18 9 65 42Based on this result, what is the experimental probability of the spinner landing on a 1 or 7?0.0840.0650.0370.001
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.