Question

Which of the following values cannot be​ probabilities? 0.04​, 5 divided by 3​, 1​, 0​, 3 divided by 5​, StartRoot 2 EndRoot​, negative 0.59​, 1.49 Select all the values that cannot be probabilities. A. 1.49 B. 1 C. three fifths D. StartRoot 2 EndRoot E. five thirds F. 0 G. negative 0.59 H. 0.04

Answer 1

Answer:

A. 1.49

D. √2

E. five thirds

G. - 0.59

Step-by-step explanation:

In order to be a probability, a value must be at least zero, or at most 1:

$0 \leq P\leq 1$

Evaluating each of the given values:

A. 1.49

1.49 is at least zero but it is greater than one, therefore 1.49 cannot be a probability.

B. 1

1 represents a probability of 100%, therefore this value can be a probability

C. three fifths

$0\leq \frac{3}{5} \leq 1$

Can be a probability

D. √2

$\sqrt 2 =1.41 > 1$

Cannot be a probability

E. five thirds

$\frac{5}{3}=1.67>1$

Cannot be a probability

F. 0

0 represents a probability of 0%, therefore this value can be a probability

G. - 0.59

Negative values cannot be probabilities.

H. 0.04

$0\leq 0.04 \leq 1$

Can be a probability