## Determine whether the following statement is true or false. if it is false, explain why. the probability that event a or event b w

Question

Determine whether the following statement is true or false. if it is false, explain why. the probability that event a or event b will occur is p(a or b) = p(a) p(b) – p (a or b)

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36 mins 2023-01-24T03:58:42+00:00 2 Answers 0 views 0

The following statement is false
Step-by-step explanation:
The following statement that The probability that event a or event b will occur is p(a or b) = p(a) p(b) – p (a or b) is false
The correct statement is The probability that event a or event b will occur is p(a or b) = p(a) p(b) – p (a and b)
Addition Rule: The probability that event A or event B happens is equal to the probability that A happens plus the probability that B happens minus the probability that both happen. If events A and B are mutually exclusive, then the probability that event A or B happens is simply the sum of the probabilities.
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2. The following statement is false
• Addition rule: The probability of event A or event B occurring is equal to the probability of occurrence of A  plus the probability of occurrence of B  minus the probability of both occurring.
• If events A and B are mutually exclusive, then the probability of event A or B occurring is simply the sum of the probabilities.
• If A and B are two events in a probability experiment, then the probability of either event occurring is: P(A or B) = P(A) + P(B) −P(A and B)
• Example: There are 12 face-up cards in a game, so P(head) = 12/52. There are 13 spades in a game, so P(flags) = 13/52.
The correct statement is that the probability of event a or event b occurring is p(a or b) = p(a) p(b) – p(a and b).
Hence the statement is False.