Question

section 5.3 homework score: 1/13 answered: 1/13 question 2 a and b are independent events. use the following probabilities to answer the question. round to 4 decimal places. p(a) = 0.73, p(a and b) = 0.29, find p(b) p(b) = blank hint: independent events video on independent events +

Explanation:

Step1: Recall formula for independent events

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

Step2: Solve for P(B)

We can rewrite the formula as $P(B)=\frac{P(A\cap B)}{P(A)}$. Given $P(A) = 0.73$ and $P(A\cap B)=0.29$, then $P(B)=\frac{0.29}{0.73}$.

Step3: Calculate the value

$P(B)=\frac{0.29}{0.73}\approx0.3973$.

Answer:

$0.3973$