You flip a coin 100 times and it lands on heads 53 times. What is the experimental probability for NOT flipping heads.

1. Break Down the Problem

To find the experimental probability of NOT flipping heads, we need to:

1. Determine the total number of coin flips.
2. Determine the number of times heads was flipped.
3. Calculate the number of times tails was flipped (which is NOT heads).
4. Use the experimental probability formula.

2. Relevant Concepts

The formula for experimental probability is given by: $P(E) = \frac{\text{Number of favorable outcomes}}{\text{Total number of trials}}$ In this case, the favorable outcome is flipping tails.

3. Analysis and Detail

1. Total coin flips: $n = 100$
2. Number of heads flipped: $h = 53$
3. Number of tails flipped (NOT heads): $t = n - h = 100 - 53 = 47$
4. Now, we can calculate the experimental probability of NOT flipping heads (flipping tails): $P(\text{NOT heads}) = \frac{t}{n} = \frac{47}{100}$

4. Verify and Summarize

We verified all calculations:

• Total flips = 100
• Heads = 53
• Tails = 47 Thus, the experimental probability of NOT flipping heads (flipping tails) is indeed $\frac{47}{100}$.

Final Answer

The experimental probability of NOT flipping heads is $\frac{47}{100}$ or 0.47.