Each of two computers randomly generate a number between 2 and 7, then finds the sum of the two values. Using the sample space provided below and assuming each simple event is as likely as anyother, find the probability that the sum is divisible by 4 .

[tex]\left|\begin{array}{c|ccccccc}--&--&--&--&--&--&--\\ &2&3&4&5&6&7\\--&--&--&--&--&--&--\\2&2,2&(2,3)&(2,4)&(2,5)&2,6&(2,7)\\3&(3,2)&(3,3)&(3,4)&3,5&(3,6)&(3,7)\\4&(4,2)&(4,3)&4,4&(4,5)&(4,6)&(4,7)\\5&(5,2)&5,3&(5,4)&(5,5)&(5,6)&(5,7)\\6&6,2&(6,3)&(6,4)&(6,5)&(6,6)&(6,7)\\7&(7,2)&(7,3)&(7,4)&7,5&(7,6)&(7,7)\\--&--&--&--&--&--&--\end{array}\right|[/tex]

The total Sample space, n(S)=36

The pair which adds up to a multiple of 4 are those not enclosed by brackets on the table.

Number of Pairs that whose sum is divisible by 4=9

Probability that the sum is divisible by 9[tex]=\frac{9}{36}=\frac{1}{4}=0.25[/tex]

Each of two computers randomly generate a number between 2 and 7​, then finds the sum of the two values. Using the sample space provided below and assuming each simple event is as likely as any​other, find the probability that the sum is divisible by 4 .

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Each of two computers randomly generate a number between 2 and 7, then finds the sum of the two values. Using the sample space provided below and assuming each simple event is as likely as anyother, find the probability that the sum is divisible by 4 .