Two numbers are removed at random from the numb... - JAMB Mathematics 2021 Question
Two numbers are removed at random from the numbers 1, 2, 3 and 4. What is the probability that the sum of the numbers removed is even?
A
\(\frac{2}{3}\)
B
\(\frac{1}{2}\)
C
\(\frac{1}{3}\)
D
\(\frac{1}{4}\)
correct option: b
\(\begin{array}{c|c} 1 & 2 & 3 & 4\\hline 1(1, 1) & (1, 2) & (1, 3) & (1, 4)\ \hline 2(2, 1) & (2 , 2) & (2, 3) & (2, 4) \ \hline 3(3, 1) & (3, 2) & (3, 3) & (3, 4)\ \hline 4(4, 1) & (4, 2) & (4, 3) & (4, 4)\end{array}\)
Sample space = 16
Sum of numbers removed: (2), 3, (4), 5
3, (4), 5, (6)
(4), 5, (6), 7
(5), 6, 7, (8)
Even numbers count: 8
Pr(even sum) = \(\frac{8}{16}\)
= \(\frac{1}{2}\)
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