Solution: 2017 Winter Midterm - 16
Author: Michiel SmidQuestion
You flip a fair coin 15 times. Define the event
- A = "the result of the first three flips are equal".
(a)
1/2
(b)
1/4
(c)
1/6
(d)
1/8
Solution
Let’s see all possible 3 flip combinations:
HHH
HHT
HTH
HTT
THH
THT
TTH
TTT
Out of 8 possibilities, 2 of them have the first 3 flips equal.
Thus, $ Pr(A) = \frac{2}{8} = \frac{1}{4} $