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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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Answer:

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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varshamittal029

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.

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