Question

if 6/x is the probability of an event then the value of 'x'.
A) 7
B) 5
C) 3
D) 1​

Answer 1

answer : option (A) 7

A basic concept of probability is that probability of any event can't be less than zero and more than 1.

I mean, if P(E) is the probability of any event E.

then, 0 ≤ P(E) ≤ 1

as 6/x is the probability of any event . it means value of 6/x shall be lie between 0 to 1.

i.e., 0 ≤ 6/x ≤ 1

⇒6 ≤ x < ∞

means, value of x will be greater than or equal to 6.

here only one option (A) 7 satisfied the given condition of x (as 7 is always greater than 6 )

so, option (A) is correct choice.

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Answer 2

The required "option A)" is correct.

Step-by-step explanation:

Given,

The probability of an event = $\dfrac{6}{x}$

To find, the value of x = ?

We know that,

Probability, P(E) = $\dfrac{Number of favorable outcomes}{Total number of possible outcomes}$

Number of favorable outcomes is always less than or equal to Total number of possible outcomes.

= $\dfrac{6}{x}$ ≤ 1

⇒ x ≥ 6

By the suitable answer,

∴  x = 7

The value of x = 7

Thus, the required "option A)" is correct.