Question

Find the set of outcomes that occur when we flip 3 coins and obtain at least two tails.

Enter the outcomes using H and T to represent heads and tails respectively. For​ example, an outcome of two heads tosses followed by one tails toss would be HHT.

Answer 1

First, I would show all the outcomes possible. To determine the number of the total outcomes, you use the formula: rⁿ, where r is the number of outcomes in 1 flip, and n is the number of lips. Thus, 2³ = 8 outcomes. These outcomes are:

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

From the given outcomes, there are 3 outcomes that has at least two tails. These are the ones in bold characters.