Question

Type the correct answer in the box. round your answer to the nearest tenth. 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 probability helps us to know the chances of an event occurring. The probability of event n occurring is 0.3.

What is Probability?

The probability helps us to know the chances of an event occurring.

$\rm{Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}$

We know that for two independent events the probability of the two events occurring simultaneously is written as,

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

Now, as we know the probability of event m occurring also we know the probability of both events occurring simultaneously, therefore, the probability of event n occurring can be written as,

$P(A \cap B) = P(A)\cdot P(B)\\\\P(m \cap n) = P(m)\cdot P(n)\\\\0.138 = 0.46 \times P(n)\\\\P(n) = 0.3$

Hence, the probability of event n occurring is 0.3.

Learn more about Probability:

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