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
