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question 2 of 25 a and b are independent events. ( p(a)=0.80 ) and ( p(…

Question

question 2 of 25
a and b are independent events. ( p(a)=0.80 ) and ( p(b)=0.10 ).
what is ( p(a ) and ( b) )?
a. 0.08
b. 0
c. 0.008
d. 0.90

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 \(P(A) = 0.80\) and \(P(B)=0.10\), then \(P(A\cap B)=0.80\times0.10\).

Step3: Calculate the product

\(0.80\times0.10 = 0.08\).

Answer:

A. 0.08