Aand b are independent events. which equation below must be true?
a. p(a) = p(b)
b. p(a | b) = p(a)
c. p(a ∩ b) = p(a)
d. p(b) = p(a | b)

Answer with Step-by-step explanation:

A and B are independent events.

Then, we have to find,which equation below must be true.

A. P(A) = P(B)

No, this is not true, example

A: Occurence of 1 in rolling a die  P(A)=1/6

B: occurence of an even number on rolling a die P(B)=1/2

B. P(A | B) = P(A)

This is true

since, P(A|B)+P(A)/P(A∩B)  and, P(A∩B)=P(A)P(B)

C. P(A ∩ B) = P(A)

This is not true

since, P(A∩B)=P(A)×P(B)

D. P(B) = P(A | B)

This is not true

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step-by-step explanation:

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just pick what you think i need more time let me know if this

step-by-step explanation: