Question

Events M and N are independent events. In this scenario, if P(M) = 0.46 and P(M and N) = 0.138, then P(N) = .

Answer 1

The value of P(N) is, 0.3

Explanation:

If two events i.e A and B are independent then;

`P(A \cap B) = P(A) \cdot P(B)`

As per the statement:

Events M and N are independent events.

If P(M) = 0.46 and
`P(M \cap N) = 0.138`

To find the value of P(N):

By definition we have;

`P(M \cap N) = P(M) \cdot P(N)`

Substitute the given values we have;

`0.138 = 0.46 \cdot P(N)`

Divide both sides by 0.46 we have;

0.3 = P(N)

or

P(N) = 0.3

Therefore, the value of P(N) is, 0.3

Answer 2

P(N)=0.3

Explanation:

Given: P(M)= 0.46, P(M and N)=0.138

Using P(M) ×P(N)= P(M and N)

⇒0.46×P(N)= 0.138

⇒P(N)=
`(0.138)/(0.46)`

⇒P(N)=0.3