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Answer:
a. There are 8 possible outcomes in total.
b. The probability of getting heads 3 times in a row is 0.125 (or 1/8).
c. The probability of getting heads on the first and last toss is 0.25 (or 1/4).
Step-by-step explanation:
a. The tree diagram for tossing a coin 3 times looks like this:
```
H T
/ \ / \
H T H T
/ \ / \ / \ / \
H T H T H T H T
```
There are 8 possible outcomes in total.
b. The probability of getting heads on a single toss is 1/2.
Since each toss is independent, the probability of getting heads 3 times in a row is:
(1/2) * (1/2) * (1/2) = 1/8 = 0.125 (rounded to three decimal places)
c. The probability of getting heads on the first toss is 1/2.
Since each toss is independent, the probability of getting heads on the first and the last toss is:
(1/2) * (1/2) = 1/4 = 0.25 (rounded to two decimal places)
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