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In a certain Algebra 2 class of 25 students ,15 of them play basketball and 7 of them play baseball. There are 8 students who play neither sport. What is the probability that a student chosen randomly from the class plays basketball or baseball?

Problemas

In a certain Algebra 2 class of 25 students ,15 of them play basketball and 7 of them play
baseball. There are 8 students who play neither sport. What is the probability that a student
chosen randomly from the class plays basketball or baseball?

In a certain Algebra 2 class of 25 students ,15 of them play basketball and 7 of them play baseball. There are 8 students who play neither sport. What is the probability that a student chosen randomly from the class plays basketball or baseball?

Solución

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Teresamaestro · Tutor durante 5 años
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To find the probability that a student chosen randomly from the class plays basketball or baseball, we need to determine the number of students who play either sport.<br /><br />Given information:<br />- Total number of students in the class: 25<br />- Number of students who play basketball: 15<br />- Number of students who play baseball: 7<br />- Number of students who play neither sport: 8<br /><br />Step 1: Find the number of students who play either basketball or baseball.<br />Number of students who play either basketball or baseball = Total number of students - Number of students who play neither sport<br />Number of students who play either basketball or baseball = 25 - 8 = 17<br /><br />Step 2: Calculate the probability that a student chosen randomly from the class plays basketball or baseball.<br />Probability = Number of students who play either basketball or baseball / Total number of students<br />Probability = 17 / 25 = 0.68<br /><br />Therefore, the probability that a student chosen randomly from the class plays basketball or baseball is 0.68 or 68%.
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