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Out of the students in a class, 60% are geniuses, 70% love chocolate, and 40% fall into both categories. Determine the probability that a randomly selected student is neither a genius nor a chocolate lover.

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We will see that the probability of randomly selecting a student that is neither a genius nor a chocolate lover is:

P = 0.1

Finding the probability.

First, we know the percentages.

  • 70% of the students love chocolate.
  • 60% of the students are geniuses.
  • 40% fall into both categories.

Then we have:

  • 70% - 40% = 30% only love chocolate.
  • 60% - 40% = 20% only are geniuses.

Then the percentage of students that are geniuses, love chocolate, or both, is given by:

30% + 20% + 40% = 90%

Then there are a 10% of students that are neither a genius nor like chocolate.

Thus the probability of randomly selecting one of these is:

P = 10%/100% = 0.1

If you want to learn more about probability, you can read:

https://brainly.com/question/251701

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