Question

a probability experiment is conducted. which of these cannot be considered a probability outcome?
$\frac{4}{7}$
$25%$
$1$
$-\frac{5}{6}$
$120%$
$0.51$
$1.4$
$- 0.37$
$0$
none of the above

Explanation:

Step1: Recall probability range

The probability of an event \(P(E)\) satisfies \(0\leq P(E)\leq1\). That is, probability values range from \(0\) (impossible event) to \(1\) (certain event).

Step2: Check each option

• \(\frac{4}{7}\approx0.57\), and \(0\leq\frac{4}{7}\leq1\).
• \(25\%=\frac{25}{100} = 0.25\), and \(0\leq0.25\leq1\).
• \(1\) is a valid probability (certain event).
• \(-\frac{5}{6}\approx - 0.83\lt0\), not in the range \([0,1]\).
• \(120\%=\frac{120}{100}=1.2\gt1\), not in the range \([0,1]\).
• \(0.51\) is in the range \(0\leq0.51\leq1\).
• \(1.4\gt1\), not in the range \([0,1]\).
• \(- 0.37\lt0\), not in the range \([0,1]\).
• \(0\) is a valid probability (impossible event).

Answer:

\(-\frac{5}{6},120\%,1.4,-0.37\)