In this article, we will learn how to calculate the probability when three coins are tossed together simultaneously. The possible outcomes when three coins are tossed simultaneously are:
- HHH
- HHT
- HTH
- THH
- TTH
- THT
- HTT
- TTT
There are eight total possible outcomes.
We can calculate the probability using the formula,
Required Probability = Number of favourable outcomes/Total number of outcomes.
Let us consider some problems for calculating 3 coin toss probability.
Examples of calculating probability when three coins are tossed:
Example 1:
Three coins are tossed simultaneously. Calculate the probability that we get exactly one head.
Solution: Here the favourable outcomes are HTT, THT, and TTH.
Since three out of eight outcomes are favourable by using the above formula we get,
Required Probability = 3/8 = 0.375
Example 2:
Three coins are tossed simultaneously. Calculate the probability that we get at least two tails.
Solution: Here the favourable outcomes are HTT, THT, TTH and TTT.
Since four out of eight outcomes are favourable by using the above formula we get,
Required Probability = 4/8 = ½ = 0.5
Example 3:
Calculate the probability that we get at most one tail when three coins are tossed simultaneously.
Solution: Here the favourable outcomes are HHH, HHT, THH, and HTH.
Since four out of eight outcomes are favourable by using the above formula we get,
Required Probability = 4/8 = ½ = 0.5
