Question

suppose that events e and f are independent, ( p(e)=0.4 ), and ( p(f)=0.9 ). what is the ( p(e ) and ( f) )?
the probability ( p(e ) and ( f) ) is
(type an integer or a decimal)

Explanation:

Step1: Recall the formula for independent events

For independent events \(E\) and \(F\), \(P(E\cap F)=P(E)\times P(F)\)

Step2: Substitute the given probabilities

Given \(P(E) = 0.4\) and \(P(F)=0.9\), then \(P(E\cap F)=0.4\times0.9\)

Step3: Calculate the product

\(0.4\times0.9 = 0.36\)

Answer:

\(0.36\)