which of the following values cannot be probabilities? 0.03, - 0.42, 1, 3/5, 0, 1.23, 5/3, √2 select all the…

which of the following values cannot be probabilities? 0.03, - 0.42, 1, 3/5, 0, 1.23, 5/3, √2 select all the values that cannot be probabilities. a. 5/3 b. 0 c. -0.42 d. 1 e. 0.03 f. 3/5 g. √2 h. 1.23

which of the following values cannot be probabilities? 0.03, - 0.42, 1, 3/5, 0, 1.23, 5/3, √2 select all the values that cannot be probabilities. a. 5/3 b. 0 c. -0.42 d. 1 e. 0.03 f. 3/5 g. √2 h. 1.23

Answer

Explanation:

Step1: Recall probability range

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

Step2: Analyze option A

(\frac{5}{3}\approx1.67> 1), so it cannot be a probability.

Step3: Analyze option B

(0) is a valid probability (for an impossible event).

Step4: Analyze option C

(- 0.42<0), so it cannot be a probability.

Step5: Analyze option D

(1) is a valid probability (for a certain event).

Step6: Analyze option E

(0.03) is between (0) and (1), so it is a valid probability.

Step7: Analyze option F

(\frac{3}{5} = 0.6) is between (0) and (1), so it is a valid probability.

Step8: Analyze option G

(\sqrt{2}\approx1.414>1), so it cannot be a probability.

Step9: Analyze option H

(1.23>1), so it cannot be a probability.

Answer:

A. (\frac{5}{3}), C. (-0.42), G. (\sqrt{2}), H. (1.23)