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

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Q. You roll a 66-sided die.\newlineWhat is P(even)P(\text{even})?\newlineWrite your answer as a percentage.\newline_____%
  1. Identify even numbers: Identify the even numbers on a 66-sided die.\newlineThe even numbers on a 66-sided die are 22, 44, and 66.
  2. Calculate favorable outcomes: Calculate the number of favorable outcomes.\newlineThere are 33 even numbers on a 66-sided die, so there are 33 favorable outcomes for rolling an even number.
  3. Calculate total outcomes: Calculate the total number of possible outcomes.\newlineThere are 66 possible outcomes when rolling a 66-sided die (one for each side of the die).
  4. Calculate probability: Calculate the probability of rolling an even number.\newlineThe probability P(even)P(\text{even}) is the number of favorable outcomes divided by the total number of possible outcomes.\newlineP(even)=Number of favorable outcomesTotal number of possible outcomesP(\text{even}) = \frac{\text{Number of favorable outcomes}}{\text{Total number of possible outcomes}}\newlineP(even)=36P(\text{even}) = \frac{3}{6}
  5. Simplify fraction: Simplify the fraction.\newlineThe fraction 36\frac{3}{6} simplifies to 12\frac{1}{2}.
  6. Convert to percentage: Convert the simplified fraction to a percentage.\newlineTo convert a fraction to a percentage, multiply it by 100%100\%.\newlinePercentage = (1/2)×100%(1/2) \times 100\%\newlinePercentage = 50%50\%

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