### Home > INT2 > Chapter 3 > Lesson 3.1.5 > Problem3-59

3-59.

In problem 3-19, Eddie and Tana were flipping three coins. Tana later found out that Eddie was using weighted coins (coins that were not fair), so the probability of getting heads for each coin was $\frac { 4 } { 5 }$ instead of $\frac { 1 } { 2 }$.

1. Would this change the sample space?

The sample space remains the same but the probabilities would change.

2. Recalculate the probabilities for each of the following events for the weighted coins.

1. Three heads

2. One head and two tails

3. At least one tail

4. Exactly two tails

• $\frac{4}{5}\cdot\frac{4}{5}\cdot\frac{4}{5}$

• There are three ways this can happen.
HTT, THT, TTH

• P(at least one tail) = 1 – P(no tails)