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The probability of event A is 0.53 and the probability of event B is 0.17. The probability of A and B occurring is 0.901. Which statement accurately describes these two events?

The probability of event A is 053 and the probability of event B is 017 The probability of A and B occurring is 0901 Which statement accurately describes these class=

Respuesta :

Answer: Choice C

Explanation:

We're given that

  • P(A) = 0.53
  • P(B) = 0.17
  • P(A and B) = 0.901

Note that P(A)*P(B) = 0.53*0.17 = 0.0901 which is somewhat similar to 0.901 but not entirely the same. We have an extra zero between the decimal point and the nine. So this indicates that [tex]P(A)*P(B) \ne P(\text{A and B})[/tex]. Therefore, events A and B are not independent. We consider them dependent.

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