Question

which value cannot represent the probability of an event occurring?
3/2
85%
1/100
0.29

Explanation:

Step1: Recall the range of probability values

The probability of an event \(E\) is defined as \(0\leq P(E)\leq1\). Also, if we convert percentages to decimals, \(85\%=\frac{85}{100} = 0.85\), \(\frac{1}{100}=0.01\).

Step2: Check each value against the probability range

• For \(85\%\) (or \(0.85\)): Since \(0\leq0.85\leq1\), it can represent a probability.
• For \(\frac{1}{100}\) (or \(0.01\)): Since \(0\leq0.01\leq1\), it can represent a probability.
• For \(0.29\): Since \(0\leq0.29\leq1\), it can represent a probability.
• For \(\frac{3}{2}\) (or \(1.5\)): Since \(1.5> 1\), it does not satisfy the condition \(0\leq P(E)\leq1\).

Answer:

\(\frac{3}{2}\)