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question
which number represents the probability of an event that is unlikely to occur?
answer
\\( \frac { 1 } { 8 } \\)
\\( \frac { 97 } { 50 } \\)
0
\\( \frac { 89 } { 100 } \\)
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Step1: Recall probability range
Probability of an event \(P(E)\) satisfies \(0\leq P(E)\leq1\). An unlikely event has \(0 < P(E)<0.5\).
Step2: Analyze each option
- For \(\frac{1}{8}=0.125\), since \(0 < 0.125<0.5\), it represents an unlikely event.
- \(\frac{97}{50} = 1.94>1\), not a valid probability.
- \(\frac{89}{100}=0.89>0.5\), represents a likely event.
- \(0\) represents an impossible event.
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\(\frac{1}{8}\)