Question

Roll 6-sided dice. If “1, 2 or 3” occurs in the first roll, flip a coin....

Roll 6-sided dice. If “1, 2 or 3” occurs in the first roll, flip a coin. If “4, 5 or 6” occurs, roll 6-sided dice again.
What is the sample space of this experiment, Show with the tree diagram technique. How many sample points are in the sample space? What is the probability that flips results in a head?
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Answer #1

The tree for this experiment is given by:

Sample space: {(1,H),(1,T),(2,H),(2,T),(3,H),(3,T),(4,1),(4,2),(4,3),(4,4),(4,5),(4,6),(5,1),(5,2),(5,3),(5,4),(5,5),(5,6),(6,1),(6,2),(6,3),(6,4),(6,5),(6,6)}

So, number of points in the sample space = 24

Now, P(flips result in head) = P(1,H) + P(2,H) + P(3,H)

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