Three coins are tossed at once. What is the probability of two heads and one tail?

Solution:

When three coins are tossed the total number of possible combinations are 2³ = 8.

These combinations are HHH, HHT, HTH, THH, TTH, THT, HTT, TTT.

The number of combinations which have two heads and one tail are:

HHT, HTH, TTH which makes them 3 in number.

Therefore the Probability of getting two heads and one tails in the toss of three coins simultaneously is defined as:

P(Two heads and One Tail) = Number of desired outcomes

= 3 = 0.375

Three coins are tossed at once. What is the probability of two heads and one tail?

Summary:

The Probability of getting two heads and one tails in the toss of three coins simultaneously is 3/8 or 0.375.