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How many different possible outcomes are there if you flip four coins?

Question

How many different possible outcomes are there if you flip four coins?

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Solution

When you flip a coin, there are 2 possible outcomes: heads or tails.

When you flip two coins, the number of possible outcomes increases to 4: heads-heads, heads-tails, tails-heads, or tails-tails.

This is because for each outcome of the first coin flip (2 possibilities), there are 2 possible outcomes for the second coin flip. So, 2 (from the first coin) times 2 (from the second coin) equals 4 total possible outcomes.

When you flip three coins, the number of possible outcomes increases to 8. This is because for each of the 4 outcomes from flipping two coins, there are 2 possible outcomes for the third coin flip. So, 4 (from the first two coins) times 2 (from the third coin) equals 8 total possible outcomes.

Finally, when you flip four coins, the number of possible outcomes increases to 16. This is because for each of the 8 outcomes from flipping three coins, there are 2 possible outcomes for the fourth coin flip. So, 8 (from the first three coins) times 2 (from the fourth coin) equals 16 total possible outcomes.

So, there are 16 different possible outcomes when you flip four coins.

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