A number of classicists were asked to identify their favorite epic poets. The results are summarized below: • 64 appreciate Homer. • 40 appreciate Virgil. • 7 appreciate Gomer. • 2 appreciate Homer and Virgil and Gomer. • 3 appreciate Virgil and Gomer. • 20 appreciate Homer and Virgil. • 42 appreciate Homer and neither of the other two. • 12 appreciate none of these three epic poets. Please draw a Venn diagram and answer the following questions. How many classicists were surveyed? If a classicists is chosen at random, what is the probability that they don't appreciate Gomer? If a classicists is chosen at random, what is the probability that they appreciate exactly one of the three epic poets? If a classicists is chosen at random, what is the probability that they appreciate either Homer or Gomer?

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A number of classicists were asked to identify their favorite epic poets. The
results are summarized below:
• 64 appreciate Homer.
• 40 appreciate Virgil.
• 7 appreciate Gomer.
• 2 appreciate Homer and Virgil and Gomer.
• 3 appreciate Virgil and Gomer.
• 20 appreciate Homer and Virgil.
• 42 appreciate Homer and neither of the other two.
12 appreciate none of these three epic poets.
Please draw a Venn diagram
and answer the following questions.
How many classicists were surveyed?
If a classicists is chosen at random, what is the probability that they
don't appreciate Gomer?
If a classicists is chosen at random, what is the probability that they
appreciate exactly one of the three epic poets?
If a classicists is chosen at random, what is the probability that they
appreciate either Homer or Gomer?
Transcribed Image Text:A number of classicists were asked to identify their favorite epic poets. The results are summarized below: • 64 appreciate Homer. • 40 appreciate Virgil. • 7 appreciate Gomer. • 2 appreciate Homer and Virgil and Gomer. • 3 appreciate Virgil and Gomer. • 20 appreciate Homer and Virgil. • 42 appreciate Homer and neither of the other two. 12 appreciate none of these three epic poets. Please draw a Venn diagram and answer the following questions. How many classicists were surveyed? If a classicists is chosen at random, what is the probability that they don't appreciate Gomer? If a classicists is chosen at random, what is the probability that they appreciate exactly one of the three epic poets? If a classicists is chosen at random, what is the probability that they appreciate either Homer or Gomer?
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