Question

determine which numbers could be used to represent the probability of an event. select all that apply. a. 0, because probability values can equal 0. b. $\frac{120}{101}$, because probability values cannot be greater than 1. c. $\frac{15}{15}$, because probability values can equal 1. d. - 0.0009, because probability values must be between - 1 and 1. e. 333.3%, because probability values can be greater than 100%. f. 2.3, because probability values cannot be greater than 100.

Explanation:

Step1: Recall probability range

The probability of an event $P(E)$ satisfies $0\leq P(E)\leq1$.

Step2: Analyze option A

$0$ is within the range $[0,1]$, so it can represent a probability.

Step3: Analyze option B

$\frac{120}{101}\approx1.19> 1$, so it cannot represent a probability.

Step4: Analyze option C

$\frac{15}{15} = 1$, and $1$ is within the range $[0,1]$, so it can represent a probability.

Step5: Analyze option D

$- 0.0009<0$, so it cannot represent a probability. Probability values are non - negative.

Step6: Analyze option E

$333.3\%=\frac{333.3}{100}=3.333>1$, so it cannot represent a probability.

Step7: Analyze option F

$2.3>1$, so it cannot represent a probability.

Answer:

A. 0, because probability values can equal 0.
C. $\frac{15}{15}$, because probability values can equal 1.