Understanding the Problem
When three coins are tossed simultaneously, we want to find the probability of getting no heads, which means we are looking for the scenario where all coins show tails.
Possible Outcomes
- Each coin has two possible outcomes: heads (H) or tails (T).
- When three coins are tossed, the total number of outcomes can be calculated as:
- 2 (for the first coin) x 2 (for the second coin) x 2 (for the third coin) = 2^3 = 8.
Listing All Outcomes
The possible outcomes when tossing three coins are:
- HHH
- HHT
- HTH
- HTT
- THH
- THT
- TTH
- TTT
Identifying Favorable Outcomes
- We are interested in the outcome where no heads appear, which is:
- TTT
- There is only 1 favorable outcome.
Calculating Probability
- The formula for probability is:
- Probability = (Number of favorable outcomes) / (Total number of outcomes)
- In this case:
- Probability = 1 (favorable outcome) / 8 (total outcomes) = 1/8.
Conclusion
The probability of getting no heads when three coins are tossed is:
- 1/8 or 0.125.
This means there is a 12.5% chance of obtaining no heads in a single toss of three coins.