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Set A: {1, 3, 4, 6, 9, 12, 15} If three numbers are randomly selected from set A without replacement, what is the probability that the sum of the three numbers is divisible by 3

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erolkayacan

Answer:

The answer is 0.29

Step-by-step explanation:

To select a set of numbers that sum of them can be divided by 3, we shouldn't pick 1 or 4. So total number of sets that can be selected from set A is:

[tex]T=combination(7,3)=35[/tex]

Set of numbers set that sum of them can be divided by 3 is:

[tex]t=combination(5,3)=10[/tex]

The probability is

[tex]P=t/T=10/35=0.29[/tex]

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