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The probability of event A is x, and the probability of event B is y.

If the two events are independent, which condition must be true?

A.
P(AlB)=x
B.
P(BlA)=xy
C.
P(BlA)=x
D.
P(AlB)=y
Personal comment- Just to note, I saw two different answers for this one which were P(BlA)=xy and P(BlA)=y. I’m not sure who was correct. I saw an expert verified answer with only bout 40-ish “Thanks” but the other one was not an expert verified and it have bout 230 “Thanks”. I’m hesitant on which to go with. PLEASE HELP. I will send 50 extra brainliest if you give answer, and explain, AND if I get it right on the test. The last part is the only way to get extra. If you put in a random answer just to get easy brainliest, I will report to brainly moderators and have your question taken down, you will get your first and final warning (unless you have already gotten one which in this case your account will be banned) and you will lose brainliest points. I, and the Brainly community guidlines states that there is a ZERO TOLERANCE POLICY for any incorrect, unexplained, disrespectful answers.

Sagot :

Answer:

A.  P(A l B) = x

Step-by-step explanation:

For independent events A and B,

P(B | A) = P(B)

P(A | B) = P(A)

P(A ∩ B) = P(A)P(B)

If P(A) = x   and   P(B) = y  then:

⇒ P(B | A) = y

⇒ P(A | B) = x

⇒ P(A ∩ B) = xy

Therefore, the correct solution from the options given is:

A.  P(A l B) = x