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The table gives a set of outcomes and their probabilities. Let A be the event "the outcome is greater than or equal to 5". Find P(A).Outcome Probability1 0.122 0.083 0.144 0.075 0.196 0.237 0.048 0.039 0.1

Question

The table gives a set of outcomes and their probabilities. Let A be the event "the outcome is greater than or equal to 5". Find P(A).Outcome Probability1 0.122 0.083 0.144 0.075 0.196 0.237 0.048 0.039 0.1

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Solution

To find the probability of event A, which is the event "the outcome is greater than or equal to 5", we need to add up the probabilities of all outcomes that satisfy this condition.

From the table, the outcomes that are greater than or equal to 5 are 5, 6, 7, 8, and 9.

The probabilities for these outcomes are:

  • 5: 0.19
  • 6: 0.23
  • 7: 0.04
  • 8: 0.03
  • 9: 0.1

Adding these probabilities together gives:

P(A) = P(5) + P(6) + P(7) + P(8) + P(9) = 0.19 + 0.23 + 0.04 + 0.03 + 0.1 = 0.59

So, the probability of event A, P(A), is 0.59.

This problem has been solved

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