The image above represents dependent events.

To compute for dependent events, four essential parameters are needed and these parameters are **Number of Times Event A can occur** **(****x _{A}), Number of Times Event B can occur (x_{B}**

**)**and

**Total Number of All Possible Outcomes**

**(**

**N).**

The formula for calculating independent events:

P(A and B) = P(A) x P(B|A)

Where;

P(A and B) = Dependent events

^{xA} = Number of Times Event A can occur

^{xB} = Number of Times Event B can occur

N = Total Number of All Possible Outcomes

P(A) = ^{xA} ⁄ _{N}

P(B|A) = ^{xB} ⁄ _{(N – 1)}

Let’s solve an example;

Find the dependent events when the number of times event A can occur is 8, number of times event B can occur is 11 and the total number of all possible outcomes is 18.

This implies that;

^{xA} = Number of Times Event A can occur = 8

^{xB} = Number of Times Event B can occur = 11

N = Total Number of All Possible Outcomes = 18

P(A and B) = P(A) x P(B|A)

P(A and B) = ^{xA} ⁄ _{N} x ^{xB} ⁄ _{(N – 1)}

P(A and B) = ^{8} ⁄ _{18} x ^{11} ⁄ _{17}

P(A and B) = ^{(8)(11)} ⁄ _{(18)(17)}

P(A and B) = ^{88} ⁄ _{306}

Dividing the numerator and denominator by **2**

P(A and B) = ^{44} ⁄ _{153}

P(A and B) = 0.287

Therefore, the **d****ependent events **is **0.287.**

Continue reading How to Calculate and Solve for Dependent Events | Probability