Bunuel
shrive555
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?
The sum of any three number from set B={3,6,12,15} would be divisible by 3. with combination method we can find how many ways we can select 3 numbers from set B. 5C3 = 10 so the probability would be 10/7
2nd method is of probability: The easy would be not selecting 1 and 4 from the set.
so P(not 1 and not 4) = P (not 1) * P(not4) => (1-1/7) * (1-1/6) => 5/7
Both Answers are wrong !!
where i'm going wrong.
Thanks
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?A. 3/14
B. 2/7
C. 9/14
D. 5/7
E. 11/14
How can the probability be more than 1?
Probability of an event = (# of favorable outcomes) / (total # of outcomes).
There are 5 numbers you can choose from (3, 6, 9, 12, 15) so that the sum to be divisible by 3 and there are total of 7 numbers so \(P=\frac{C^3_5}{C^3_7}=\frac{2}{7}\).
Answer: B.
Hi
Bunuel,
If we want to do another way => 1 - P(choosing 1 and 4)
then as per the number of ways to chose 1 and 4 = (1,4,3), (1,4,6), (1,4,9), (1,4,12), and (1,4,15); in short 5C1
therefore P(choosing 1 and 4) should be = 5/(7c3) = 5/35 = 1/7
and P(NOT choosing 1 and 4) should be = 1-1/7 = 6/7
What I am doing wrong?