Question

Which of the following values is not the value of the probability of the random variable?
A. 1.01
B. 1.00
C. 0.50
D. 0.05

Answer 1

1.01 can not be the value of the probability of the random variable.

Option A is correct.

Given:

• A. 1.01
• B. 1.00
• C. 0.50
• D. 0.05

To find:

• Which of the above written values is not the value of the probability of the random variable?

Solution:

Concept to be used:

Probability of an event for any random variable lies between 0 and 1.

$0 \leqslant p(E) \leqslant 1$

The probability of an event that is impossible to happen is 0 and that of a sure event is 1.

Option A is 1.01; it is clear that 1.01>1.

Thus,

1.01 can not be the value of the probability of the random variable.

Option A is correct.

Option B is 1.00; it is clear that 1.00= 1.

Thus,

1.00 can be the value of the probability of the random variable that will be sure to occur.

Option B is incorrect.

Option C is 0.50; it is clear that 0≤0.50≤1

Thus,

0.50 can be the value of the probability of the random variable .

Option C is incorrect.

Option D is 0.05; it is clear that 0≤0.05≤1

Thus,

0.05can be the value of the probability of the random variable .

Option D is incorrect

Thus,

1.01 can not be the value of the probability of the random variable.

Option A is correct.

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