A random number generator that returns an integer is run twice. Let Event A be an odd number on the first run and Event B be an even number on the second run.

Which statement about the conditional probability is true?

The conditional probability of Event B given Event A is P (B|A) = P (A) P (B) when two events are independent.

The conditional probability of Event B given Event A is P (B|A) = P (B) when two events are not independent.

The conditional probability of Event B given Event A is P (B|A) = P (A and B) P (A) when two events are not independent.

The conditional probability of Event B given Event A is P (B|A) = P (B) P (A) when two events are independent.

Question

Socks

Mathematics

20 November, 01:23

A random number generator that returns an integer is run twice. Let Event A be an odd number on the first run and Event B be an even number on the second run.

Which statement about the conditional probability is true?

The conditional probability of Event B given Event A is P (B|A) = P (A) P (B) when two events are independent.

The conditional probability of Event B given Event A is P (B|A) = P (B) when two events are not independent.

The conditional probability of Event B given Event A is P (B|A) = P (A and B) P (A) when two events are not independent.

The conditional probability of Event B given Event A is P (B|A) = P (B) P (A) when two events are independent.

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Answers (1)

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Amirah Choi · Answer 1

Answer: The conditional probability of Event B given Event A is P (B|A) = P (A and B) / P (A) when two events are not independent.

Step-by-step explanation:

A random number generator that returns an integer is run twice.

Let Event A be an odd number on the first run and Event B be an even number on the second run.

A dependent event is when one event effect the outcome of second event in a context of probability.

Here A is given event which already occurred and probability of getting B after Event A is making events dependent or not independent.

Therefore, the conditional probability of Event B given Event A is P (B|A) = P (A and B) / P (A) = P (A∩B) / P (A).