Question

What is the probability of obtaining four tails in a row when flipping a coin?

Answer 1

The probability of obtaining four tails in a row when flipping a fair coin is 6.25%, calculated by multiplying 0.5 by itself four times (0.5 × 0.5 × 0.5 × 0.5).

Step-by-step explanation:

The question asks about the probability of obtaining four tails in a row when flipping a coin. Considering a fair coin, the probability of getting tails on any single toss is 50%, or 0.5. As each flip is independent, to find the probability of obtaining four tails in a row, we multiply the probability of getting tails on a single flip by itself four times (0.5 × 0.5 × 0.5 × 0.5).

Thus, the calculation for the probability of getting four tails in a row is:

1. First toss: 0.5 chance of tails.
2. Second toss: 0.5 chance of tails.
3. Third toss: 0.5 chance of tails.
4. Fourth toss: 0.5 chance of tails.

The combined probability is therefore 0.5 × 0.5 × 0.5 × 0.5, which equals 0.0625 or 6.25%.

This percentage reflects the likelihood that such an event occurs when flipping a fair coin four times.