A certain spinner is divided into 6 sectors of equal size, and the spinner is equally likely to land in any sector. Four of the 6 sectors are shaded, and the remaining sectors are not shaded. Which of the following is the best interpretation of the probability that one spin of the spinner will land in a shaded sector?

(A) For many spins, the long-run relative frequency with which the spinner will land in a shaded sector is

B) For many spins, the long-run relative frequency with which the spinner will land in a shaded sector is

C) For many spins, the long-run relative frequency with which the spinner will land in a shaded sector is

D) For 6 spins, the spinner will land in a shaded sector 4 times.

E) For 6 spins, the spinner will land in a shaded sector 2 times.

Question

Mathematics

Layton Parsons

19 June, 15:38

A certain spinner is divided into 6 sectors of equal size, and the spinner is equally likely to land in any sector. Four of the 6 sectors are shaded, and the remaining sectors are not shaded. Which of the following is the best interpretation of the probability that one spin of the spinner will land in a shaded sector?

(A) For many spins, the long-run relative frequency with which the spinner will land in a shaded sector is

B) For many spins, the long-run relative frequency with which the spinner will land in a shaded sector is

C) For many spins, the long-run relative frequency with which the spinner will land in a shaded sector is

D) For 6 spins, the spinner will land in a shaded sector 4 times.

E) For 6 spins, the spinner will land in a shaded sector 2 times.

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Answers (2)

Know the Answer?

Talon Orozco · Answer 1

For many spins, the long-run relative frequency with which the spinner will land in a shaded sector is 2/3

Step-by-step explanation:

For many spins, the long-run relative frequency with which the spinner will land in a shaded sector is:

number of shaded outcomes/total possible outcomes = 4/6 = 2/3

You cannot make statements like options D and E because you never can anticipate the result, you can only compute the probability of that outcome to happen