SOLUTION: These questions were just solved a few minutes ago however the answers are a little different. What is the probability that two of the students was born in July? The answer in

Question 907853: These questions were just solved a few minutes ago however the answers are a little different.
What is the probability that two of the students was born in July?
The answer in my book says 11/576 however when I do (1/12) x (1/12) x (11/12) it equals to 11/1728
What is the probability that one of the students was born in July? When I do (1/12) x (11/12) x (11/12) I get 121/1728.
The answer in my book says 121/576.
Are the answers wrong (because some answers in my book are wrong) or has there been a miscalculation?
I appreciate the help :) Sorry if confusing
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
You're not taking into account different combinations.
I'm assuming the problem is something like given 3 students.
a) What's the probability two were born in July?
b) What's the probability one was born in July?
Both questions have the same issue.
When you look at the possible outcomes.
J-Born in July
N-Not born in July
JJN
JNJ
NJJ
There are three possible outcomes where two are born in July, you calculated only one. The probabilities are identical for each case.

Same issue for the second part. Notice that the book solution is 3 times your solution.

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