On three consecutive flips of a coin, what is the probability that all three produce the
same result?

Probability of 1/4

2 possibilities x 2 possibilities x 2 possibilities = 8 total possibilities:
Heads, Heads, Heads
Heads, Heads, Tails
Heads, Tails, Tails
Heads, Tails, Heads
Tails, Tails, Tails
Tails, Tails, Heads
Tails, Heads, Heads
Tails, Heads, Tails

2 of which result in all of the same outcome:
Heads, Heads, Heads
Tails, Tails, Tails

2 results/ 8 possibilities = 2/8 = 1/4