Find the set of outcomes that occur when we flip 3 coins and

Find the set of outcomes that occur when we flip 3 coins and obtain at most one tails. Enter the outcomes using II and T to represent heads and tails respectively. For example, an outcome of two heads tosses followed by one tails toss would be HHT.(Use a comma to separate answers as needed.)

Solution

For three tosses of the coin all the possible outcomes are:
.
H-H-H
T-H-H
H-T-H
H-H-T
T-H-T
T-T-H
H-T-T
T-T-T
.
Obtain atmost one tail= {

H-H-H
T-H-H
H-T-H
H-H-T
T-H-T

}
H-T-H
H-H-T
T-H-T
T-T-H
H-T-T