Students at university x must be in one of the class ranks, freshman, sophomore, junior, or senior. at university x, 35% of the students are freshmen and 30% are sophomores. if a student is selected at random, the probability he or she is either a junior or a senior is

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Raymond Zamora

Mathematics

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Students at university x must be in one of the class ranks, freshman, sophomore, junior, or senior. at university x, 35% of the students are freshmen and 30% are sophomores. if a student is selected at random, the probability he or she is either a junior or a senior is

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Lovey · Answer 1

A student has to be in one of those four ranks.

If a student is not a freshman or sophomore, he must be a junior or a senior.

All students make up 100% of the total number of students.

Since the freshmen are 35% of the students, and the sophomores are 30% of the students, then they make up 65% of all students.

100% - 65% = 35%.

That means the juniors and seniors combined account for 35% of all students.

A student selected randomly has a 35% probability of being a junior or a senior.