which numbers could be used to express the probability of an event occurring? (choose three)\na…
which numbers could be used to express the probability of an event occurring? (choose three)\na $\frac{13}{5}$\nb $-\frac{6}{7}$\nc $\frac{4}{9}$\nd 0\ne 1
Answer
Explanation:
Step1: Recall the range of probability
The probability (P) of an event satisfies (0\leq P\leq1).
Step2: Analyze each option
- For option A: (\frac{13}{5}=2.6> 1), so it cannot be a probability.
- For option B: (-\frac{6}{7}<0), so it cannot be a probability.
- For option C: (0<\frac{4}{9}\approx0.44<1), so it can be a probability.
- For option D: (0) is the probability of an impossible event, so it can be a probability.
- For option E: (1) is the probability of a certain event, so it can be a probability.
Answer:
C. (\frac{4}{9}), D. (0), E. (1)