Questions: Using this Venn diagram, the probability that event A or event B occurs is

Using this Venn diagram, the probability that event A or event B occurs is
Transcript text: Using this Venn diagram, the probability that event A or event B occurs is $\qquad$
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Solution

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Solution Steps

Step 1: Identify the given probabilities
  • Probability of event A occurring (P(A)) = 0.18
  • Probability of event B occurring (P(B)) = 0.58
  • Probability of both events A and B occurring (P(A ∩ B)) = 0.08
Step 2: Use the formula for the union of two events

The formula for the probability of either event A or event B occurring (P(A ∪ B)) is: \[ P(A \cup B) = P(A) + P(B) - P(A \cap B) \]

Step 3: Substitute the given values into the formula

\[ P(A \cup B) = 0.18 + 0.58 - 0.08 \]

Step 4: Perform the calculation

\[ P(A \cup B) = 0.68 \]

Final Answer

The probability that event A or event B occurs is 0.68.

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