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Which of the following can be the probability of an event?

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23

− 1.5

15 %

0.7

answer is A.

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Detailed Solution

It is given an event.
The probability of an event E is given as-

P (E) = N u m b e r o f o u t c o m e s f a v o u r a b l e t o E N u m b e r o f a l l p o s s i b l e o u t c o m e s o f t h e e x p e r i m e n t

Here, the number of outcomes favorable to the event E is always less than or equal to the number of all possible outcomes.

∴ 0 ≤ P E ≤ 1

Now, checking for the possibility of all the given options being the probability of an event.

⇒ 23 = 0.67

follows the condition of

0 ≤ P E ≤ 1

.
So, it can be the probability of an event.

⇒ − 1.5

does not follow the condition of

0 ≤ P E ≤ 1

.
So, it cannot be the probability of an event.

⇒ 15 % = 15100 = 0.15

follows the condition of

0 ≤ P E ≤ 1

.
So, it can be the probability of an event.

follows the condition of

0 ≤ P E ≤ 1

.
So, it can be the probability of an event.
Hence, option (1), (3), (4) are correct.

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Which of the following can be the probability of an event?

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