If U x x is an integer and 1 x E1 x x is a mult... - JAMB Mathematics 2017 Question
If U = {x : x is an integer and 1 ≤ x ≤ }
E<sup>1</sup> = {x: x is a multiple of 3}<br />
E<sup>2</sup> = {x: x is a multiple of 4} and an integer is picked at random from U, find the probability that it is not in E<sup>2</sup>
A
\(\frac{3}{4}\)
B
\(\frac{3}{10}\)
C
\(\frac{1}{4}\)
D
\(\frac{1}{20}\)
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Correct Option: A
U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20}
E1 = {3, 6, 9, 12, 15, 18}
E2 = {4, 8, 12, 16, 20}
Probability of E2 = (\frac{5}{20}) i.e (\frac{\text{Total number in}E_2}{\text{Entire number in set}})
Probability of set E2 = 1 − (\frac{5}{20})
= (\frac{15}{20})
= (\frac{3}{4})
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