Morrison Fitzgerald
06/12/2024 · Primary School
A teacher asks a class of 44 students about the sports they like: 19 like tennis, 35 like baseball, and 15 like both tennis and baseball. What is the probability that a randomly selected student likes each of the following? (Hint: A Venn diagram might be helpful.) (a) tennis or baseball (b) only tennis (c) only baseball (d) neither sport
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(a) Probability of liking tennis or baseball: \( \frac{39}{44} \) or approximately 0.8863.
(b) Probability of liking only tennis: \( \frac{1}{11} \) or approximately 0.0909.
(c) Probability of liking only baseball: \( \frac{5}{11} \) or approximately 0.4545.
(d) Probability of not liking either sport: \( \frac{5}{44} \) or approximately 0.1133.
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