type the correct answer in the box. round your answer to the nearest tenth. events m and n are independent…

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) =

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

Explanation:

Step1: Recall formula for independent events

For independent events $M$ and $N$, $P(M\text{ and }N)=P(M)\times P(N)$.

Step2: Solve for $P(N)$

We can rewrite the formula as $P(N)=\frac{P(M\text{ and }N)}{P(M)}$. Substitute $P(M) = 0.46$ and $P(M\text{ and }N)=0.138$ into the formula: $P(N)=\frac{0.138}{0.46}$.

Step3: Calculate the value

$P(N)=\frac{0.138}{0.46}=0.3$.

Answer:

$0.3$