Question

Which of the following statement(s) is/are dependent events?

• A. Not recharging phone bill on time and having call service suspended.
• B. Parking vehicle in no parking zone, you are more likely to get a parking ticket.
• C. $\text{P(E)=P(A).P(B knowing A has already happened)}$
• D. Purchasing a few lottery tickets and winning the lottery.

Answer 1

Answer: (A), (B), (C), (D)

Purchasing a few lottery tickets and winning the lottery.

$\underset{–}{Statement1}$:
Not paying phone bill on time and having call service suspended.

These two events, not paying bill and suspension of service are related and dependent on each other.

So, it is a dependent event.

$\underset{–}{Statement2}$:
Parking vehicle in no parking zone, and more likely to get a parking ticket.

These two events are also dependent on each other. If vehicle is parked in no parking then you will be charged fine for that.

$\underset{–}{Statement3}$:$\text{P(E)=P(A).P(B knowing A has already happened)}$

This is the formula for calculating probability of dependent events.

$\underset{–}{Statement4}$:
Purchasing a few lottery tickets and winning the lottery.

These events are also dependent because probability of winning the lottery will depend upon how many tickets were bought.