Question

17 A box contains 48 oranges, of which 8 are bad. If an orange is drawn randomly from the box, the probability that this orange is not bad is

Ask by Boyd Davey. in Egypt
Mar 27,2025

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Tutor-Verified Answer

Answer

The probability that a randomly drawn orange is not bad is .

Solution

  1. There are a total of oranges in the box.
  2. Out of these, oranges are bad.
  3. The number of not bad oranges is .
  4. The probability that a randomly drawn orange is not bad is given by:
  5. Simplify the fraction by dividing both numerator and denominator by their greatest common divisor, which is :
The final answer is: .

Answered by UpStudy AI and reviewed by a Professional Tutor

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Mind Expander

To find the probability that a randomly drawn orange is not bad, we first determine the count of good oranges. There are 48 oranges in total and 8 are bad, so the number of good oranges is 48 - 8 = 40.
The probability of drawing a good orange is the number of good oranges divided by the total number of oranges:
P(Not Bad) = Number of Good Oranges / Total Number of Oranges = 40 / 48.
This simplifies to 5/6 or approximately 0.8333. So, there’s about an 83.33% chance you’ll pick a good orange!

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