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# Assume that P ( A ) = P ( B ). Show that A = B

**Solution:**

Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.

For an experiment having n number of outcomes, the number of favorable outcomes can be denoted by x.

Let P (A) = P (B)

Let x ∈ A

A ∈ P (A) = P (B)

Therefore,

x ∈ C, for some C ∈ P (B)

Now, C ⊂ B

Hence, x ∈ B

So, A ⊂ B

Similarly, B ⊂ A

Therefore, A = B proved

NCERT Solutions Class 11 Maths Chapter 1 Exercise ME Question 6

## Assume that P ( A ) = P ( B ). Show that A = B

P (A) = P (B) is given. We have proved that A = B

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