Determine whether the events E and F are independent or depe

Determine whether the events E and F are independent or dependent. Justify your answer.

(a) E: The battery in your cell phone is dead. F: The batteries in your calculator are dead.

(b) E: Your favorite color is blue. F: Your friend’s favorite hobby is fishing.

(c) E: You are late for school. F: Your car runs out of gas.

Solution

(a) E: The battery in your cell phone is dead. F: The batteries in your calculator are dead.

Both are independent. since the battery used in cell phone and batteries in calculator are different.

E: Your favorite color is blue. F: Your friend’s favorite hobby is fishing.

Here also both are indepndent events. The event of the interests are independent.

E: You are late for school. F: Your car runs out of gas.

Probably these are dependent events. Event E is depending on the event F.

reaching school late depends on the car runs out of gas