4.1 Intro to Discrete Probability | 4.1 Intro to Discrete Probability | Unit 4: Probability | Mathematics for Computer Science | Electrical Engineering and Computer Science

<Sample Spaces: Video
4.1.1Tree Model: Video
4.1.2Socks and Shoes
4.1.3Simplified Monty Hall Tree: Video
4.1.4Simplify Prize Tree
4.1.5Sample Spaces: Video
4.1.6Sum Rule Practice
4.1.7Addition Rule
4.1.8Fun With Coins
>Addition Rule

Sum Rule Practice

Say I have three pairwise disjoint events $E_0, E_1,$ and $E_2$ . The probability of each one occurring is $\frac{1}{4}$ . What is the probability that any one of these events occurs? Enter answers as a decimal.

Using the Sum Rule of pairwise disjoint events we get:

$Pr\left[E_0\cup E_1\cup E_2 \right] = Pr\left[E_0\right] + Pr\left[E_1\right] + Pr\left[E_2\right] = \frac{1}{4}+\frac{1}{4}+\frac{1}{4}=\frac{3}{4}$ .