If three unbiased coins are tossed, then what is the probability of getting one or more heads is

Mathematics · Middle School · Mon Jan 18 2021

Answered on

To find the probability of getting one or more heads when three unbiased coins are tossed, let's consider the possible outcomes:

There are 2 outcomes for each coin toss (either heads or tails). Since each coin toss is independent, the total number of outcomes for three coins is 2×2×2=23=8

2×2×23=8.

Now, let's list the outcomes where we get one or more heads:

  1. HHT
  2. HTH
  3. THH
  4. HHH

There are 4 favorable outcomes.

Therefore, the probability of getting one or more heads is the number of favorable outcomes divided by the total number of outcomes:

Probability=Number of Favorable Outcomes Total Number of Outcomes = 48=12


Probability=Total Number of Outcomes


Number of Favorable Outcomes = 1/2