Question

a and b are independent events. find p(a and b)
p(a) = \frac{1}{4}, p(b) = \frac{3}{5}
p(a and b) = \square
(round to three decimal places as needed.)

Explanation:

Step1: Recall independent events formula

For independent events, $P(A \text{ and } B) = P(A) \times P(B)$

Step2: Substitute given probabilities

$P(A \text{ and } B) = \frac{1}{4} \times \frac{3}{5}$

Step3: Calculate the product

$P(A \text{ and } B) = \frac{3}{20} = 0.150$

Answer:

0.150