Question

chapter 3: 3.3 two basic rules of probability homework score: 10/14 answered: 5/8 question 6 a and b are independent events. use the following probabilities to answer the question. round to 4 decimal places. p(a) = 0.6, p(a and b) = 0.36, find p(b) p(b) = hint: independent events video on independent events ·

Explanation:

Step1: Recall formula for independent events

For independent events $A$ and $B$, $P(A\ and\ B)=P(A)\times P(B)$.

Step2: Solve for $P(B)$

We can rewrite the formula as $P(B)=\frac{P(A\ and\ B)}{P(A)}$. Substitute $P(A) = 0.6$ and $P(A\ and\ B)=0.36$ into the formula: $P(B)=\frac{0.36}{0.6}$.

Step3: Calculate the value

$\frac{0.36}{0.6}=0.6000$

Answer:

$0.6000$