In a certain Algebra 2 class of 28 students, 5 of them play basketball and 21 of them play baseball. There are 5 students who play neither sport. What is the probability that a student chosen randomly from the class plays both basketball and baseball?
Does 'neither' mean 'not basketball AND not baseball'? Or 'not basketball OR not baseball'?
$\endgroup$ 23 Answers
$\begingroup$The word neither means
not the one nor the other of two people or things; not either.
So, when the question says that the students play neither sport, it means they do not play baseball and does not play basketball.
$\endgroup$ $\begingroup$A student plays neither basketball nor baseball is an unambiguous way of saying that said student does not play basketball and does not play baseball.
$\endgroup$ $\begingroup$5 students do not play at all. Therefore 23 students play at least one sport. Add numbers for both sport and get 26, so 3 students play both. So probability of student chosen at random plays both is 3/28.
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