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You roll a 66-sided die.\newlineWhat is P(5 or greater than 4)P(5 \text{ or greater than } 4)?\newlineChoices:\newline(A)27\frac{2}{7}\newline(B)18\frac{1}{8}\newline(C)56\frac{5}{6}\newline(D)13\frac{1}{3}

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Probability of mutually exclusive events and overlapping eventsright chevron icon

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Q. You roll a 66-sided die.\newlineWhat is P(5 or greater than 4)P(5 \text{ or greater than } 4)?\newlineChoices:\newline(A)27\frac{2}{7}\newline(B)18\frac{1}{8}\newline(C)56\frac{5}{6}\newline(D)13\frac{1}{3}
  1. Identify outcomes: Identify the total number of outcomes for a 66-sided die. There are 66 possible outcomes (1,2,3,4,5,61, 2, 3, 4, 5, 6).
  2. Find favorable outcomes: Determine the favorable outcomes for rolling a 55 or greater. The favorable outcomes are 55 and 66. That makes 22 favorable outcomes.
  3. Calculate probability: Calculate the probability. Probability PP is given by the formula P=Number of favorable outcomesTotal number of outcomesP = \frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}. So, P(5 or greater than 4)=26P(5 \text{ or greater than } 4) = \frac{2}{6}.
  4. Simplify fraction: Simplify the fraction 26\frac{2}{6} to 13\frac{1}{3}.

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