Definition of Dependent Events
If the outcome of one event affects the outcome of another, then the events are said to be Dependent Events.
More About 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
Video Examples: Dependent Events Conditional Probability
Solved Example on Dependent Events
Ques: Which of the following are dependent events?
1. Getting an even number in the first roll of a number cube and getting an even number in the second roll.
2. Getting an odd number on the number cube and spinning blue color on the spinner.
3. Getting a face card in the first draw from a deck of playing cards and getting a face card in the second draw. (The first card is not replaced.)
B. 2 and 3
C. 1 and 3
Correct Answer: D
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.