What is the probability of flipping 4 coins on the same side, that is getting either all heads or all tails? Give the exact decimal answer without rounding.

To solve this problem, we need to determine the probability of flipping 4 coins and having all of them land on the same side (either all heads or all tails).

### Step-by-Step Solution

1. **Total Possible Outcomes:**

   When flipping 4 coins, each coin has 2 possible outcomes: heads (H) or tails (T). Therefore, the total number of possible outcomes when flipping 4 coins is:

   \[
   2^4 = 16
   \]

2. **Favorable Outcomes for All Coins on the Same Side:**

   To get all 4 coins on the same side, there are 2 possible favorable outcomes:
   - All heads (HHHH)
   - All tails (TTTT)

   This means there are exactly 2 favorable outcomes.

3. **Calculate the Probability:**

   The probability \(P\) of getting all 4 coins on the same side is the number of favorable outcomes divided by the total number of possible outcomes:

   \[
   P = \frac{\text{Number of Favorable Outcomes}}{\text{Total Number of Possible Outcomes}} = \frac{2}{16}
   \]

4. **Simplify the Probability:**

   Simplifying the fraction gives:

   \[
   P = \frac{2}{16} = \frac{1}{8}
   \]

   Converting this to a decimal:

   \[
   P = 0.125
   \]

### Final Answer:
The probability of flipping 4 coins and getting all heads or all tails is **0.125**.

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Would you like more details or have any questions?

Here are 5 related questions to expand on this topic:

1. What is the probability of getting exactly 2 heads and 2 tails when flipping 4 coins?
2. How does the probability change if we flip 5 coins instead of 4?
3. What is the probability of getting at least one head when flipping 4 coins?
4. If we flip 6 coins, what is the probability of getting exactly 4 heads?
5. How would you calculate the probability of getting an equal number of heads and tails with an even number of coin flips?

**Tip:** Remember that when calculating probabilities with multiple independent events (like coin flips), the total number of outcomes is the product of the number of outcomes for each event.

Learn how to calculate the probability of flipping 4 coins and getting all heads or all tails. Understand the step-by-step solution, including the total possible outcomes and favorable outcomes. Suitable for students in Grades 7-9 studying probability theory.

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