SOLUTION: Once again i am asking for your help. A quarter is flipped and the out come is noted. If a head results, then a die is rolled. If a tail results, then the quarter is flipped a sec

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Question 128630This question is from textbook fundamentals of maths
: Once again i am asking for your help.
A quarter is flipped and the out come is noted. If a head results, then a die is rolled. If a tail results, then the quarter is flipped a second time.
a. How many different outcomes are possible?
b. Make a tree diagram to list the sample space for the possible outcomes.
I am not putting all my work on you, but my brain just went blank. Thanks for all your help.
This question is from textbook fundamentals of maths

Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
A quarter is flipped and the out come is noted. If a head results, then a die is rolled. If a tail results, then the quarter is flipped a second time.
a. How many different outcomes are possible?
h1,h2,h3,h4,h5,h6,
th1,th2,th3,th4,th5,th6
OR
h1,h1,h2,h4,h5,h6
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Comment: It is hard to tell from the problem discription what follows
from tt on the 1st two flips of the quarter.
----------------------
b. Make a tree diagram to list the sample space for the possible outcomes.
The roots of the tree are h and t
The branches on the h are 1,2,3,4,5,6
The branch on the t is h followed by 1,2--6, or t followed by
h etc. or t
--------------
Cheers,
Stan H.

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