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You roll a 66-sided die.\newlineWhat is P(less than 5)P(\text{less than } 5)?\newlineSimplify your answer and write it as a fraction or whole number.\newline_____

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Q. You roll a 66-sided die.\newlineWhat is P(less than 5)P(\text{less than } 5)?\newlineSimplify your answer and write it as a fraction or whole number.\newline_____
  1. Identify possible outcomes: Identify the possible outcomes of rolling a 66-sided die.\newlineThe possible outcomes when rolling a 66-sided die are {1,2,3,4,5,6}\{1, 2, 3, 4, 5, 6\}.
  2. Determine favorable outcomes: Determine the number of favorable outcomes for rolling a number less than 55. The favorable outcomes for this event are \{$\(1\), \(2\), \(3\), \(4\)\}.
  3. Count favorable outcomes: Count the number of favorable outcomes.\(\newline\)There are \(4\) favorable outcomes (\(1\), \(2\), \(3\), and \(4\)).
  4. Calculate probability: Calculate the probability of rolling a number less than \(5\).\(\newline\)The probability \(P(\text{less than 5})\) is equal to the number of favorable outcomes divided by the total number of possible outcomes.\(\newline\)\(P(\text{less than 5}) = \frac{\text{Number of favorable outcomes}}{\text{Total number of possible outcomes}}\)\(\newline\)\(P(\text{less than 5}) = \frac{4}{6}\)
  5. Simplify fraction: Simplify the fraction.\(\newline\)The fraction \(\frac{4}{6}\) can be simplified by dividing both the numerator and the denominator by their greatest common divisor, which is \(2\).\(\newline\)\(P(\text{less than } 5) = \frac{(4 \div 2)}{(6 \div 2)}\)\(\newline\)\(P(\text{less than } 5) = \frac{2}{3}\)

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