Question

An experiment consists of spinning the spinner once.​ ​ a). What is the probability of landing on a 2. ​ ​ b). What is the probability of landing on a 1?​ ​ c). Is landing in each section of the spinner equally likely to occur? Explain.​

Answer 1

1/4 ; 3/8

Explanation:

Probability of landing on 2 :

Required outcome = Number of 2's on spinner = 2

Total possible outcomes = Number of congruent spaces on spinner = 8

P(landing on a 2) = 2 / 8 = 1/4

Probability of landing on 1 :

Required outcome = Number of 1's on spinner = 3

Total possible outcomes = Number of congruent spaces on spinner = 8

P(landing on a 1) = 3 / 8

Landing in each section of the spinner is equally likely to occur as the spinner are divided into congruent spaces. However, landing on the labels of the spinner isn't equally likely as each label take up uneven number of congruent spaces on the spinner.