You flip a coin 100 times and it lands on heads 33 times. What is the experimental probability for flipping tails?

1. Break Down the Problem

We want to find the experimental probability of flipping tails when a coin is flipped 100 times, and it landed on heads 33 times.

2. Relevant Concepts

Experimental probability is calculated using the formula:

$P(E) = \frac{\text{Number of successful outcomes}}{\text{Total number of trials}}$

3. Analysis and Detail

1. Total Flips: The total number of flips is 100.
2. Number of Heads: The coin landed on heads 33 times.
3. Number of Tails: The number of tails is calculated by subtracting the number of heads from the total flips:

$\text{Number of Tails} = \text{Total Flips} - \text{Number of Heads} = 100 - 33 = 67$

4. Calculating Probability of Tails: Now we can use the experimental probability formula to find the probability of flipping tails:

$P(\text{Tails}) = \frac{\text{Number of Tails}}{\text{Total Flips}} = \frac{67}{100}$

4. Verify and Summarize

The experimental probability of flipping tails, having calculated the number of tails and the total flips, is confirmed.

Final Answer

The experimental probability for flipping tails is

$P(\text{Tails}) = \frac{67}{100} = 0.67$