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If you flip 4 coins, what is the probability you will get all heads OR all tails, P( all H or  all T)?

Question

If you flip 4 coins, what is the probability you will get all heads OR all tails, P( all H or  all T)?

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Solution

To solve this problem, we need to understand that a coin has 2 possible outcomes - heads or tails.

Step 1: Calculate the total number of outcomes when flipping 4 coins. This is 2 (possible outcomes per coin) raised to the power of 4 (number of coins), which equals 16.

Step 2: Calculate the number of favorable outcomes. There is only 1 way to get all heads and 1 way to get all tails. So, there are 2 favorable outcomes.

Step 3: Calculate the probability. The probability of an event is the number of favorable outcomes divided by the total number of outcomes.

So, the probability P(all H or all T) = number of favorable outcomes / total number of outcomes = 2 / 16 = 1/8 or 0.125.

So, the probability of getting all heads or all tails when flipping 4 coins is 0.125 or 12.5%.

This problem has been solved

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