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which of the following numbers could be the probability of an event? 0,…

Question

which of the following numbers could be the probability of an event? 0, -0.54, 0.05, 0.32, 1.25, 1
the numbers that could be a probability of an event are (use a comma to separate answers as needed.)

Explanation:

Step1: Recall probability range

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

Step2: Check each number

  • For \(0\), since \(0 = 0\), it is a valid probability.
  • For \(- 0.54\), since \(-0.54<0\), it is not a valid probability.
  • For \(0.05\), since \(0<0.05<1\), it is a valid probability.
  • For \(0.32\), since \(0<0.32<1\), it is a valid probability.
  • For \(1.25\), since \(1.25 > 1\), it is not a valid probability.
  • For \(1\), since \(1 = 1\), it is a valid probability.

Answer:

\(0,0.05,0.32,1\)