The spinner below is divided into eight equal parts. Find the theoretical probability described below as a fraction. P(greater than 2) =

Question
Probability
asked 2020-11-24
The spinner below is divided into eight equal parts. Find the theoretical probability described below as a fraction.
P(greater than 2) =

Answers (1)

2020-11-25
Theoretical probability = number of successful outcomes/total number of outcomes so to find the probability of spinning a number greater than 2, we need to find the number of outcomes that are greater than 2 and then divide it by the total number of outcomes on the spinner.
Since the spinner is labeled 1 through 8, then the outcomes that are greater than 2 are the outcomes from 3 to 8 and the total number of outcomes is 8. The number of outcomes greater than 2 is then 6.
Therefore, P(greater than \(\displaystyle{2}{)}={\frac{{{6}}}{{{8}}}}={\frac{{{\frac{{{6}}}{{{2}}}}}}{{{\frac{{{8}}}{{{8}}}}}}}={\frac{{{3}}}{{{4}}}}\)
0

Relevant Questions

asked 2021-02-19
The diagram shows a spinner. When the arrow is spun the probability of scoring a 2 is 0.3 . The arrow is spun twice and the scores are added. What is the probability that the total score is 6?6? Express the answer as a decimal. [ \sqrt { 2 } \text { . } ]
asked 2021-01-24
If you used a random number generator for the numbers from 1 through 20 to play a game, what is the theoretical probability of getting each of these outcomes? a. A multiple of 3 or a multiple of 7, P(multiple of 3 or multiple of 7) b. P( even or odd) c. P(prime or 1) d. How did you find the probabilities of these events?
asked 2020-11-30
The spinner is spun twice. Two possible outcomes art AC and CA.
a. Create a sample space that lists all of the equally likely outcomes.
b. Refer to the sample space to find the probability of spinning A one or more times in two spins.
asked 2020-10-21
A number cube is rolled 20 times and lands on 1 two times and on 5 four times. Find each experimental probability. Then compare the experimental probability to the theoretical probability.
landing on 5
asked 2020-10-28
A teacher placed thexample 1 ) U, and WW in a bag. A card is drawn at random. Determine the theoretical probability for drawing a card that has a vowel on it. (Example 2 )
asked 2021-01-02
Geographical Analysis (Jan, 2010) presented a study of Emergency Medical Services (EMS) ability to meet the demand for an ambulance. In one example, the researchers presented the following scenario. An ambulance station has one vehicle and two demand locations, A and B. The probability that the ambulance can travel to a location in under eight minutes is .58 for location A and .42 for location B. The probability that the ambulance is busy at any point in time is .3. a. Find the probability that EMS can meet demand for an ambulance at location A. b. Find the probability that EMS can meet demand for an ambulance at location B.
asked 2021-03-07
A hip joint replacement part is being stress-tested in a laboratory. The probability of successfully completing the test is 0.883. 11 randomly and independently chosen parts are tested. What is the probability that exactly two of the 11 parts successfully complete the test?
asked 2021-01-27
\(\displaystyle{b}{e}{g}\in{\left\lbrace{a}{r}{r}{a}{y}\right\rbrace}{\left\lbrace{\left|{c}\right|}{c}{\mid}\right\rbrace}{h}{l}\in{e}&{H}{o}{u}{s}{e}{w}{\quad\text{or}\quad}{k}{H}{o}{u}{r}{s}\backslash{h}{l}\in{e}{G}{e}{n}{d}{e}{r}&{S}{a}\mp\le\ {S}{i}{z}{e}&{M}{e}{a}{n}&{S}{\tan{{d}}}{a}{r}{d}\ {D}{e}{v}{i}{a}{t}{i}{o}{n}\backslash{h}{l}\in{e}{W}{o}{m}{e}{n}&{473473}&{33.133}{.1}&{14.214}{.2}\backslash{h}{l}\in{e}{M}{e}{n}&{488488}&{18.618}{.6}&{15.715}{.7}\backslash{e}{n}{d}{\left\lbrace{a}{r}{r}{a}{y}\right\rbrace}\) a. Based on this​ study, calculate how many more hours per​ week, on the​ average, women spend on housework than men. b. Find the standard error for comparing the means. What factor causes the standard error to be small compared to the sample standard deviations for the two​ groups? The cause the standard error to be small compared to the sample standard deviations for the two groups. c. Calculate the​ 95% confidence interval comparing the population means for women Interpret the result including the relevance of 0 being within the interval or not. The​ 95% confidence interval for ​\(\displaystyle{\left(\mu_{{W}}-\mu_{{M}}​\right)}\) is: (Round to two decimal places as​ needed.) The values in the​ 95% confidence interval are less than 0, are greater than 0, include 0, which implies that the population mean for women could be the same as is less than is greater than the population mean for men. d. State the assumptions upon which the interval in part c is based. Upon which assumptions below is the interval​ based? Select all that apply. A.The standard deviations of the two populations are approximately equal. B.The population distribution for each group is approximately normal. C.The samples from the two groups are independent. D.The samples from the two groups are random.
asked 2021-01-02
Suppose you roll a number cube. Find the probability. P(3 or 4)
asked 2021-03-05
A new vaccine was tested to see if it could prevent the ear infections that many infants suffer from. Babies about a year old were randomly divided into two groups. One group received vaccinations, and the other did not. The following year, only 328 of 2460 vaccinated children had ear infections, compared to 508 of 2453 unvaccinated children. Complete parts a) through c) below. a) Are the conditions for inference satisfied? A. Yes. The data were generated by a randomized experiment, less than 10% of the population was sampled, the groups were independent, and there were more than 10 successes and failures in each group. B. No. It was not a random sample. C. No. The groups were not independent. D. No. More than 10% of the population was sampled.
...