Question 548772: License tag consists of a letter followed by two numbers with the letters being B,C, or D and the numbers 5 or 6. Repetition is allowed.
* determine the number of points in the sample space
* construct a tree diagram
*list the sample space and determine probability of a plate with a B
I can part way do these if there is no repetition, but this one I do not have a clue.
Any help will be wonderful!!
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! License tag consists of a letter followed by two numbers with the letters being B,C, or D and the numbers 5 or 6. Repetition is allowed.
* determine the number of points in the sample space: 2^2*2 = 8
--------------------------
* construct a tree diagram
1st column: B then C then D------------------------gives you 3 roots
2nd column: each of 1st column folled by B,C,D-----gives you 9 branches
3rd column: each branch followed by 5,6------------gives you 18 leaves
*list the sample space and determine probability of a plate with a B
----
BB5;BB6;CC5:CC6;DD5;DD6
BC4;BC6;BD5;BD6;AD5;AD6;CB4;CB5;DB5;DB6;DA5:DA6
-----------
P(plate with B) = 9/18 = 1/2
==================================
Cheers,
Stan H.
==================================================
--------------------------
|
|
|
