VI) 60% of students pass the math test, 80% pass the English test, and 55% pass
ID: 2926554 • Letter: V
Question
VI) 60% of students pass the math test, 80% pass the English test, and 55% pass both. random, what is the probability the student. (Hint: draw a Venn Diagram or a table.) If a student is selected at 19) fails both tests 20) passes the English and fails the math 21). passes at least one of the tests a) 10% b) 25% c) 35% d) 20% d) 20% d)80% d) 80% e) 15% e) 15% d) 75% a) 5% b) 10% c) 25% a)90% b) 85% C) 140% passes the math test, given that student passed the English test. a) 81% 22) (select the closest answer) d) 48% b) 65% c) 69%Explanation / Answer
19) P(fails booth test) = 1 - P(pass atleast one test)
= 1 - [P(pass math) + P(pass english) - P(pass both)]
= 1 - [0.6 + 0.8 - 0.55]
= 0.15
= 15%
Option-E) 15%
20) P(passes English and fails math) = P(pass english) - P(pass english and math) = 0.8 - 0.55 = 0.25 = 25%
Option-C) 25%
21) P(passes atleast one test) = [P(pass math) + P(pass english) - P(pass both)] = [0.6 + 0.8 - 0.55] = 0.85 = 85%
Option-B) 85%
22) P(passes math | passed english) = P(passes both test) / P(passes english test) = 0.55 / 0.8 = 0.69 = 69%
Option-C) 69%
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