Question

which of the following values cannot be probabilities? 0, 5/3, - 0.46, 1.2, 1, 0.08, √2, 3/5
select all the values that cannot be probabilities
□a. 5/3
□b. 1
□c. 0.08
□d. 0
□e. √2
□f. 1.2
□g. 3/5
□h. - 0.46

Explanation:

Step1: Recall probability range

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

Step2: Analyze each value

• $\frac{5}{3}\approx1.67 > 1$, so it cannot be a probability.
• $- 0.46<0$, so it cannot be a probability.
• $1.2 > 1$, so it cannot be a probability.
• $\sqrt{2}\approx1.414>1$, so it cannot be a probability.

Answer:

A. $\frac{5}{3}$, E. $\sqrt{2}$, F. $1.2$, H. $-0.46$