which of the following values cannot be probabilities? 3/5, -0.52, 1, 0, 1.37, 5/3, 0.04, √2 select all the…
which of the following values cannot be probabilities? 3/5, -0.52, 1, 0, 1.37, 5/3, 0.04, √2 select all the values that cannot be probabilities. a. 3/5 b. 1.37 c. 5/3 d. 0.04 e. 0 f. -0.52 g. 1 h. √2
Answer
Explanation:
Step1: Recall probability range
The probability (P) of an event satisfies (0\leq P\leq1).
Step2: Analyze each value
- (\frac{3}{5}=0.6), and (0\leq0.6\leq1), so it can be a probability.
- (1.37> 1), so it cannot be a probability.
- (\frac{5}{3}\approx1.67>1), so it cannot be a probability.
- (0.04), and (0\leq0.04\leq1), so it can be a probability.
- (0) is a valid probability (impossible - event).
- (- 0.52<0), so it cannot be a probability.
- (1) is a valid probability (certain - event).
- (\sqrt{2}\approx1.414>1), so it cannot be a probability.
Answer:
B. 1.37, C. (\frac{5}{3}), F. - 0.52, H. (\sqrt{2})