﻿ Definition and examples of dependent events | define dependent events - Probability - Free Math Dictionary Online

# Dependent Events

## Definition of Dependent Events

If the outcome of one event affects the outcome of another, then the events are said to be Dependent Events.

Taking out a marble from a bag containing some marbles and not replacing it, and then taking out a second marble are dependent events

A. 2
B. 2 and 3
C. 1 and 3
D. 3

### Solution:

Step 1: In (1), rolling a number cube two times are two independent events.
Step 2: In (2), rolling an odd number and spinning blue color are two independent events.
Step 3: In (3), since the first card is not replaced back, the probability of the second draw depends on the first draw.
Step 4: So, the two events in (3) are dependent events.

### Real-world Connections for Dependent Events

• If we wake up late, we will be late to office.
• If it rains, we use an umbrella.
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