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?

Assessment: JAMB UTME - Mathematics - 1990 Subject: General Mathematics

Question 1 Report

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?
Answer Details
1 2 3 4 1 ( 1 , 1 ) ( 1 , 2 ) ( 1 , 3 ) ( 1 , 4 ) 2 ( 2 , 1 ) ( 2 , 2 ) ( 2 , 3 ) ( 2 , 4 ) 3 ( 3 , 1 ) ( 3 , 2 ) ( 3 , 3 ) ( 3 , 4 ) 4 ( 4 , 1 ) ( 4 , 2 ) ( 4 , 3 ) ( 4 , 4 )
sample space = 16
sum of nos. removed are (2), 3, (4), 5
3, (4), 5, (6)
(4), 5, (6), 7
(5), 6, 7, (8)
Even nos. = 8 of them
Pr(even sum) =  8 16
= 

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