Events A and B are mutually exclusive. Suppose event A occurs with probability 0.07 and event B occurs with probability 0.33. Compute the following. (If necessary, consult a list of formulas.) (a) Compute the probability that A does not occur or B does not occur (or both). (b) Compute the probability that either B occurs without A occurring or A and B both occur.

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**Problem: Probability of Mutually Exclusive Events**

Events \(A\) and \(B\) are mutually exclusive. Suppose event \(A\) occurs with probability 0.07, and event \(B\) occurs with probability 0.33.

**Compute the following:**

*(If necessary, consult a list of formulas.)*

**(a)** Compute the probability that \(A\) does not occur or \(B\) does not occur (or both).

\[ \text{[   ]} \]

**(b)** Compute the probability that either \(B\) occurs without \(A\) occurring or \(A\) and \(B\) both occur.

\[ \text{[   ]} \]
Transcribed Image Text:**Problem: Probability of Mutually Exclusive Events** Events \(A\) and \(B\) are mutually exclusive. Suppose event \(A\) occurs with probability 0.07, and event \(B\) occurs with probability 0.33. **Compute the following:** *(If necessary, consult a list of formulas.)* **(a)** Compute the probability that \(A\) does not occur or \(B\) does not occur (or both). \[ \text{[ ]} \] **(b)** Compute the probability that either \(B\) occurs without \(A\) occurring or \(A\) and \(B\) both occur. \[ \text{[ ]} \]
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