Given a spinner with 9 equal-area sections, a trial of 100 spins resulted in an experimental probability of 13% for the spinner
landing on 4. which of the following statements must be false?
a. the theoretical probability p(spinner < 4) = 100%
b. the theoretical probability p(spinner =4) = 11%
c. in a new trial of 100 spins, the experimental probability, p(spinner=4) may be different.
d. the experimental probability p(not spinner =4) = 87% for this trial.

Answers

The probability of the spinner landing on A is 0.1111.

Step-by-step explanation:

The possible outcomes of a board game is that it can lead on any three of the regions, A, B and C.

The probability of all the outcomes of an event sums up to be 1.

P(E) = P(E_{1})+P(E_{2})+...+P(E_{n})=1

According to the provided information:

P (B) = 3 P (A)

P (C) = 5 P (A)

Compute the probability of the spinner landing on A as follows:

P(A)+P(B)+P(C)=1\\P(A)+3P(A)+5P(A)=1\\9P(A)=1\\P(A)=\frac{1}{9}\\=0.111111\\\approx0.1111

Thus, the probability of the spinner landing on A is 0.1111.

The answer is D, 1/8

Explanation:

I chose 1/8 because there were 8 numbers and 1 five. If there were 3 numbers and 1 five, the answer would be 1/3.

probability = 5/10 = 1/2

56

Step-by-step explanation:

P(red & red) = 0.5×0.6 = 0.3

P(blue & blue) = 0.5 × 0.4 = 0.2

84 = N(0.3)

N = 280

Expected no. of both blue:

280 × 0.2 = 56

56 times

Step-by-step explanation:

To find the probability of both spinners landing on red, we need to multiply the probability of the spinner A landing on red (0.5) by the probability of the spinner B landing on red (0.6):

P(redA and redB) = 0.5 * 0.6 = 0.3

Then, to find the probability of both landing on blue, we do the same:

P(blueA and blueB) = 0.5 * 0.4 = 0.2

Now, if the number of times that both spinners land on red is 84, to estimate the number of times that both land blue, we just need to multiply this number of times by the ratio of P(blueA and blueB) over P(redA and redB):

84 * 0.2 / 0.3 = 56 times

52

Step-by-step explanation:

Spinner A

Probability of red = 0.5, Probability of blue = 0.5

Spinner B

Probability of red = 0.6, Probability of blue = 0.4

Probability of both A and B land on red:

0.5*0.6= 0.3

Number of attempts to get outcome of 84 red on both spinners is:

84/0.3= 260

Probability of both spinners land on blue:

0.5*0.4= 0.2

Estimated number of both spinners land on blue:

260*0.2= 52  

0.5

Step-by-step explanation:

none

1/9

Step-by-step explanation:

Let's call x the probability of landing in A

So, probability of landing on B is 5x and probability of landing on C is 3x.

As we only have this options, the probabilities A + B + C = 1. So,

x + 5x + 3x = 1

9x = 1

x = 1/9

1: 30%
2: 50%
3: 2%
4: 33. 3%
5: 80% chance of thunderstorm
6: 60% of not selecting red

b

Step-by-step explanation:



Do you know the answer?

Other questions on the subject: Mathematics

Mathematics, 21.06.2019, zoeyanai1
  see belowStep-by-step explanation:The angle where chords cross is the average of the intercepted arcs. Here, that is ...   (37° +46°)/2 = (83°)/2 = 41.5°Angle SUT is 41.5°._____...Read More
1 more answers
  D. They have the same slope of -1 and are therefore parallelStep-by-step explanation:In the linear equation ...    ax + by = cthe slope of the line is m = -a/b. For the given eq...Read More
1 more answers
Mathematics, 21.06.2019, kidzay
answer: b. f(x) = (x + 2)^3 (x^2 - 7x + 3)^4step-by-step explanation: polynomials always have as many roots as their order. this is a 4th order polynomial- hence 4 roots! complex...Read More
1 more answers
Mathematics, 21.06.2019, mackwackuwu
x = 96.23   if  x is the area of the basex =21          if x is the side length of the baseStep-by-step explanation:The volume of a square pyramid is given byV=1/3 a^ 2 h We know t...Read More
1 more answers
Mathematics, 21.06.2019, tobyclyde
Iwould like to think so. what’s the question you need with?...Read More
1 more answers
Mathematics, 21.06.2019, ertgyhn
  independent: day number; dependent: hours of daylight   d(t) = 12.133 +2.883sin(2π(t-80)/365.25)   1.79 fewer hours on Feb 10Step-by-step explanation:a) The independent variable...Read More
1 more answers
Mathematics, 21.06.2019, lele142018
A system of parallel lines will be created where the two lines will never meet and have no common solution at a value of m = 2 Step-by-step explanation:The equation of the given li...Read More
3 more answers