SOLUTION: I need help .. ? The numbers 1,2,3, and 4 are written on separate slips of paper and placed in a hat. Two slips of paper are then randomly, one after the other and without repl

Algebra.Com
Question 362150: I need help .. ?
The numbers 1,2,3, and 4 are written on separate slips of paper and placed in a hat. Two slips of paper are then randomly, one after the other and without replacement.
a) Make a tree diagram showing the 12 possible outcomes of this experiment.
b) Find the probability that the sum of the numbers picked is 6 or more.
Explain it as well..
Thanks

Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
I need help .. ?
The numbers 1,2,3, and 4 are written on separate slips of paper and placed in a hat. Two slips of paper are then randomly, one after the other and without replacement.
a) Make a tree diagram showing the 12 possible outcomes of this experiment.
I can't draw a tree for you. You have to see it.
Form a column with the numbers 1,2,3,4
---
To the right of 1 put 2,3,and 4
To the right of 2 put 1,3,and 4
To the right of 3 put 1,2,and 4
To the right of 4 put 1,2,and 3
------
Do you see the 4*3 = 12 outcomes??
-----------------------------------------


b) Find the probability that the sum of the numbers picked is 6 or more.
Explain it as well..
1 followed by 2,3,and 4 never reaches a sum >= 6
2 followed by 4 reaches 6
3 followed by 4 reaches >=6
4 followed by 2,3 reaches >=6
---
P(sum >= 6) = 4/12 = 1/3
====================================
Cheers,
Stan H.

RELATED QUESTIONS

The numbers 1 through 13 are written in separate slips of paper, and the slips are placed (answered by rothauserc)
The numbers 1 through 9 are written in separate slips of paper, and the slips are placed... (answered by ikleyn)
The numbers 1 through 10 are written in separate slips of paper, and the slips are... (answered by richard1234)
The numbers 1 to 13 are written on 13 separate slips of paper and placed in a box. A... (answered by greenestamps)
the letters from (a,b,c,e,i,) are written on individual slips of paper and placed in a... (answered by ewatrrr)
Each of the digits​ 0-9 is written on a slip of​ paper, and the slips are placed in a (answered by ikleyn)
Seven slips of paper marked with the numbers 1, 2, 3, 4, 5, 6, and 7 are placed in a box... (answered by edjones)
Each of the digits​ 0-9 is written on a slip of​ paper, and the slips are placed in a (answered by greenestamps)
Slips of paper marked with the numbers 1, 2, 3, 4 and 5 are placed in a box. After mixing (answered by stanbon)