SOLUTION: A hat has 5 slips of paper numbered 1, 2, 3, 4, 5. A slip of paper is selected at random and its number noted and the slip is not replaced. A second slip of paper is selected a

Question 1171202: A hat has 5 slips of paper numbered 1, 2, 3, 4, 5. A slip of paper is selected at
random and its number noted and the slip is not replaced. A second slip of paper
is selected at random.
What is the probability that the numbers selected sum to 6?

Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
5 ways to choose the first and then 4 ways to choose the second.
That is 20 total ways
four of them add to 6: they are 1-5 and 5-1 and 2-4 and 4-2.
The answer is 20% or 1/5.
-
if 1, (20% probability) then the other choices are 2-3-4-5 with equal probability of 25%.
So probability is 5% with each pairing and 1-5 sums to 6.
same for 2 and 2-4 with 5%
0 probability if first piece is 3.
the 5% probability with 4 and then 2
and with 5 and then 1.
Overall, it is a 20% probability.
RELATED QUESTIONS
A hat has 5 slips of paper numbered 1, 2, 3, 4, 5. A slip of paper is selected at... (answered by ikleyn)

Jeffrey wrote 1 on 1 slip of paper, 2 on 2 slips of paper, 3 on 3 slips of paper, 4 on 4... (answered by stanbon)

The numbers 1 to 13 are written on 13 separate slips of paper and placed in a box. A... (answered by greenestamps)

A box contains 5 slips of blue paper numbered from 1 to 5 and 6 slips of red paper... (answered by solver91311)

Suppose that 21 slips of paper numbered 1 to 21, inclusive, are put into a hat. Then one (answered by Edwin McCravy)

Each of the digits 0-9 is written on a slip of paper, and the slips are placed in a (answered by greenestamps)

A box contains several slips of paper. On each slip is a different even number between 5... (answered by stanbon)

Slips of paper numbered 1 through 10 are placed into a bag. What is the probability of... (answered by stanbon)

Three identical slips of paper with the numbers 1, 2, and 3 (one number on each slip)... (answered by stanbon)