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.

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.

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:

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

Spinner B

Probability of both A and B land on red:

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

Probability of both spinners land on blue:

Estimated number of both spinners land on blue:

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

b

Step-by-step explanation: