Question

suppose the spinner shown to the right is spun once, to determine a single - digit number, and we are interested that the resulting number is odd. assume all sectors of the spinner are the same size.
determine each of the following.
(a) the sample space
(b) the number of favorable outcomes
(c) the number of unfavorable outcomes
(d) the total number of possible outcomes
(e) the probability of an odd number
(f) the odds in favor of an odd number
there is/are 1 favorable outcome(s).
(type a whole number.)
(c) identify the number of unfavorable outcomes.
there is/are 2 unfavorable outcome(s).
(type a whole number.)
(d) identify the total number of possible outcomes.
there are 3 possible outcomes.
(type a whole number.)
(e) identify the probability of an odd number.
the probability of an odd number is
(type an integer or a simplified fraction.)

Explanation:

Step1: Recall probability formula

Probability formula is \(P(A)=\frac{\text{Number of favorable outcomes}}{\text{Total number of possible outcomes}}\).

Step2: Substitute values

Given number of favorable outcomes \(= 1\), total number of possible outcomes \(= 3\). So \(P=\frac{1}{3}\).

Answer:

\(\frac{1}{3}\)