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Sidana [21]
3 years ago
11

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) = .

Mathematics
2 answers:
Oksi-84 [34.3K]3 years ago
7 0

Answer:

P(N)=0.3

Step-by-step 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)= \frac{0.138}{0.46}

⇒P(N)=0.3

olganol [36]3 years ago
3 0

Answer:

The value of P(N) is, 0.3

Step-by-step 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

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