Question

If n. [P (A)] = then find n(A) ​

Answer 1

Generally the formula for finding the power of a set is 2^n where n is the number of elements in the given set.

So here n=2

So 2^2=4 is cardinal of P ( means number of max subsets)

Now understand what do you mean by this.

Power of a set = the maximum number of subset you can get from that set.

Here power is 4 means you can get 4 subsets i.e. P(A)={{},{1},{2},{1,2}}

Remember empty set is a subset of every set.Another example:

B={1,2,3}

P(B)={ {},{1},{2},{3},{1,2},{2,3},{1,3}{1,2,3}}

In formula here n=3

So 2^3=8 and if you notice total number of subset is 8. If any queries comment.

Answer 2

Explanation:

Formula for the probability of A and B (independent events): p(A and B) = p(A) * p(B). If the probability of one event doesn't affect the other, you have an independent event. All you do is multiply the probability of one by the probability of another.