Question

hw 1.5

1. which of the following could not be the value of a probability?
2. 53%
3. 0.78
4. $\frac{5}{4}$
5. $\frac{3}{4}$

justify your response:

Explanation:

Step1: Recall probability range

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

Step2: Convert percentages and fractions to decimals

1. $53\%=\frac{53}{100}=0.53$, and $0\leq0.53\leq1$.
2. $0.78$ is already in decimal - form, and $0\leq0.78\leq1$.
3. $\frac{5}{4}=1.25$, and $1.25>1$.
4. $\frac{3}{4}=0.75$, and $0\leq0.75\leq1$.

Answer:

1. $\frac{5}{4}$