What is the probability of obtaining at least two tails when tossing three coins?

To find the probability of obtaining at least two tails when tossing three coins, we first need to determine the total possible outcomes. Each coin has two sides, meaning when tossing three coins, there are 2 × 2 × 2 = 8 total possible outcomes.

The outcomes of tossing three coins can be represented as:

1. HHH (three heads)

2. HHT (two heads, one tail)
3. HTH (two heads, one tail)
4. THH (two heads, one tail)
5. HTT (one head, two tails)
6. THT (one head, two tails)
7. TTH (one head, two tails)
8. TTT (three tails)

Next, we identify the outcomes that include at least two tails. These outcomes are HTT, THT, TTH, and TTT. Thus, there are 4 outcomes with at least two tails.

To find the probability, we take the number of favorable outcomes and divide it by the total number of outcomes, which gives us:

Probability = Number of favorable outcomes / Total outcomes = 4 / 8 = 0.5.

This means the calculated probability of obtaining at least two tails