Question

question 4 of 10
a and b are independent events. ( p(a)=0.50 ) and ( p(b)=0.30 ). what is
( p(a ) and ( b) )?
a. 0
b. 0.80
c. 0.015
d. 0.15

Explanation:

Step1: Recall the formula for independent events

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

Step2: Substitute the given values

Given \(P(A) = 0.50\) and \(P(B)=0.30\), then \(P(A\cap B)=0.50\times0.30\)

Step3: Calculate the product

\(0.50\times0.30 = 0.15\)

Answer:

D. 0.15