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When you flip three fair coins, there are eight possible ways -- or states -- they can attain. Because we have only three coins, it's easy to list all the states. Here they are:

T T T

T T H

T H T

T H H

H T T

H T H

H H T

H H H

Each of those states has an equal chance of occurring. So the TTT state has a one-in-eight chance. That can be expressed mathematically as 1/8 = 0.125. The HHH state has the same chance: 0.125.

Since you asked for the probability of getting all heads OR all tails, you would add the two probabilities together: 0.125 + 0.125 = 0.25. In other words, there is a one-in-four (1/4) chance of flipping all heads OR all tails. (Remember that 1/8 + 1/8 = 1/4 = 0.25)

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Q: What is the probability of flipping 3 coins at the same time and getting all heads or all tails?
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What is the probability of getting exactly 2 heads by flipping 3 coins?

The probability is 0.375


What is the probability of flipping 3 coins and getting all heads or tails?

The probabilty of you flipping 3 coins and getting all heads or tails is 0.125 or 1/8.


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