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Question

Consider the following.

(a) Draw a tree diagram to display all the possible head-tail sequences that can occur when you flip a coin three times

(b) How many sequences contain exactly two heads?

(c) Probability extension: Assuming the sequences are all equally likely, what is the probability that you will get exactly two heads when you toss a coin three times? (Round your answer to three decimal places.)

Step 1

(a) Tree diagram that display all possible head-tail sequences that can occur when tossing a coin three times:

The tree diagram that displays all possible head-tail sequences that occurs when tossing a coin three times is as follows.

Step 2

(b) Calculation of number of sequence contain exactly two heads:

Consider H refers “Head” and T refers “Tail”.

When tossing a coin three times, there are 23 possible outcomes. It is clear from the tree diagram that there are 8 possible outcomes for this experiment.

Thus, the possible out...

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