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
Upstudy AI Solution
Tutor-Verified Answer
Answer
The probability that a randomly drawn orange is not bad is
.
Solution
-
There are a total of
oranges in the box. -
Out of these,
oranges are bad. -
The number of not bad oranges is
. -
The probability that a randomly drawn orange is not bad is given by:
-
Simplify the fraction by dividing both numerator and denominator by their greatest common divisor, which is
:
The final answer is:
.
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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!