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Tossing 3 coins probability

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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:

  1. HHH
  2. HHT
  3. HTH
  4. THH
  5. TTH
  6. THT
  7. HTT
  8. 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

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