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You roll a 66-sided die.\newlineWhat is P(prime)P(\text{prime})?\newlineWrite your answer as a percentage.\newline____%\_\_\_\_\%

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Q. You roll a 66-sided die.\newlineWhat is P(prime)P(\text{prime})?\newlineWrite your answer as a percentage.\newline____%\_\_\_\_\%
  1. Identify Prime Numbers: Identify the prime numbers on a 66-sided die. The prime numbers less than 66 are 22, 33, and 55.
  2. Calculate Favorable Outcomes: Calculate the number of favorable outcomes. There are 33 prime numbers on a 66-sided die, so there are 33 favorable outcomes.
  3. Determine Total Possible Outcomes: Determine the total number of possible outcomes when rolling a die. There are 66 possible outcomes (1,2,3,4,5,61, 2, 3, 4, 5, 6).
  4. Calculate Probability of Prime Number: Calculate the probability of rolling a prime number. The probability is the number of favorable outcomes divided by the total number of possible outcomes. P(prime)=Number of favorable outcomesTotal number of possible outcomes=36P(\text{prime}) = \frac{\text{Number of favorable outcomes}}{\text{Total number of possible outcomes}} = \frac{3}{6}
  5. Simplify Fraction: Simplify the fraction. 36\frac{3}{6} simplifies to 12\frac{1}{2}.
  6. Convert to Percentage: Convert the simplified fraction to a percentage. To convert a fraction to a percentage, multiply it by 100100. P(prime)P(\text{prime}) as a percentage = (12)×100=50%(\frac{1}{2}) \times 100 = 50\%

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