The table gives a set of outcomes and their probabilities. Let A be the event "the outcome is less than or equal to 2". Let B be the event "the outcome is greater than or equal to 4". Find P(A or B).Outcome Probability1 0.152 0.043 0.044 0.665 0.11
Question
The table gives a set of outcomes and their probabilities. Let A be the event "the outcome is less than or equal to 2". Let B be the event "the outcome is greater than or equal to 4". Find P(A or B).Outcome Probability1 0.152 0.043 0.044 0.665 0.11
Solution
To find P(A or B), we first need to identify the outcomes that satisfy either event A or event B.
Event A includes outcomes that are less than or equal to 2. From the table, these are outcomes 1 and 2, with probabilities 0.15 and 0.04 respectively.
Event B includes outcomes that are greater than or equal to 4. From the table, these are outcomes 4 and 5, with probabilities 0.66 and 0.1 respectively.
The probability of either event A or event B occurring is the sum of the probabilities of these outcomes.
So, P(A or B) = P(1) + P(2) + P(4) + P(5) = 0.15 + 0.04 + 0.66 + 0.1 = 0.95.
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