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Probability Invoiving one dle or choosing from n distinct objects
A box contains ten cards labeled , and . One card will be randomly chosen.
What is the probability, of choosing a letter from to ?
Write your answer as a fraction in simplest form.

Ask by Pollard Harper. in the United States
Jan 24,2025

Solución de inteligencia artificial de Upstudy

Respuesta verificada por el tutor

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The probability of choosing a letter from to is .

Solución

To determine the probability of choosing a letter from to in the box, follow these steps:
  1. List the Total Possible Outcomes:
    The box contains 10 distinct cards labeled: .
  2. Identify the Favorable Outcomes:
    The letters from to are: . This gives us 6 favorable outcomes.
  3. Calculate the Probability:
  4. Simplify the Fraction:
Final Answer:

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Beyond the Answer

To find the probability of choosing a letter from to , we first identify the letters in that range from the box of cards: . There are 6 letters in total.
Next, we know there are 10 cards in total. The probability of drawing one of the favorable letters is calculated by dividing the number of favorable outcomes by the total outcomes:
So, the probability of choosing a letter from to is .

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