a and b are independent events. find p(a and b). p(a)=1/4, p(b)=2/5 p(a and b)= (round to three decimal…
a and b are independent events. find p(a and b). p(a)=1/4, p(b)=2/5 p(a and b)= (round to three decimal places as needed.)
Answer
Explanation:
Step1: Recall formula for independent events
For independent events A and B, $P(A\ and\ B)=P(A)\times P(B)$.
Step2: Substitute given values
$P(A)=\frac{1}{4}$ and $P(B)=\frac{2}{5}$, so $P(A\ and\ B)=\frac{1}{4}\times\frac{2}{5}$.
Step3: Calculate the product
$\frac{1}{4}\times\frac{2}{5}=\frac{1\times2}{4\times5}=\frac{2}{20}=\frac{1}{10}= 0.100$.
Answer:
$0.100$