Question

Monyne flips three coins. What is the probability that the first, second and third coin will all land the same way (either all heads or all tails)?

Answer 1

See a solution process below:

Explanation:

The first coin flipped has a 1 in 1 or `1/1` chance of being heads or tails (assuming a fair coin which cannot land on it's edge).

The second coin has a 1 in 2 or `1/2` chance of matching the coin on the first toss.

The third coin also has a 1 in 2 or `1/2` chance of matching the coin on the first toss.

Therefore the probability of tossing three coins and getting all heads or all tails is:

`1 xx 1/2 xx 1/2 = 1/4 = 0.25` or `25%`

We can also show this from the results table below:

There are 8 possible outcomes for tossing three coins.

Two of these outcomes are either all heads or all tails,

Therefore there is a `2/8 = 1/4 = 0.25 = 25%` chance of getting all heads or all tails.