Question

Which of the following values cannot be probabilities? 3 / 5, , , , , , , 2 5 / 3 1.39 − 0.57 1 0 0.04 Select all the values that cannot be probabilities. A. 0 B. 2 C. 3 5 D. − 0.57 E. 0.04 F. 1.39 G. 5 3 H. 1

Answer 1

Question:

Which of the following values cannot be probabilities? 3 / 5,  2,  5 / 3,  1.39, −0.57,  1,  0,  0.04 Select all the values that cannot be probabilities.

A. 0

B. 2

C. 3 / 5

D. − 0.57

E. 0.04

F. 1.39

G. 5 / 3

H. 1

Answer:

B, D, F, G

Step-by-step explanation:

The probability, P(A), of an event A occurring is given by;

0 ≤ P(A) ≤ 1

This means that the probability of an event happening is always between 0 and 1 (both inclusive).

Therefore;

=> 3 / 5 is a valid probability value as;

0 ≤ 3/5 ≤ 1

=> 2 is NOT a valid probability value as 2 is not within the range 0 and 1

=> 5 / 3 is NOT a valid probability value as 5 / 3 = 1.6667 is not withing the range 0 and 1

=> 1.39 is NOT a valid probability value

=> -0.57 is NOT valid. Probability values are not and cannot be negative.

=> 1 is a valid probability value. This just means that the probability that an event will occur is 100% likely.

=> 0 is a valid probability value. This just means that the probability that an event will occur is 0% likely.

=> 0.04 is valid as;

0 ≤ 0.04 ≤ 1