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What is the probability of selecting a random month of the year and getting a month that starts with the letter "J"? If you get stuck, consider listing the sample space.

What is the probability of selecting a random month of the year and getting a month that starts with the letter `J`?\newlineIf you get stuck, consider listing the sample space.

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The Central Limit Theoremright chevron icon

Full solution

Q. What is the probability of selecting a random month of the year and getting a month that starts with the letter `J`?\newlineIf you get stuck, consider listing the sample space.
  1. Identify Months with ＂J＂: Identify the months that start with the letter ＂J＂: January, June, and July.
  2. Count Months with ＂J＂: Count the total number of months that start with ＂J＂. There are 33 months.
  3. Total Months in a Year: Count the total number of months in a year. There are 1212 months.
  4. Calculate Probability: Calculate the probability using the formula: Probability = (Number of favorable outcomes)/(Total number of outcomes)(\text{Number of favorable outcomes}) / (\text{Total number of outcomes}). Here, it's 3/123 / 12.
  5. Simplify Fraction: Simplify the fraction 312\frac{3}{12} to 14\frac{1}{4}.

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