Question

DeAndre Jordan has been working on his free throw shooting for the 2020-21 NBA season and it's not going well. After his workouts, he's been shooting 50% from the line in an empty gym. He shoots a string of 15, and then based on the number he makes, he has the following exercise routine. You can assume all of his free-throws have the same probability of being made (50%) and are independent of another.

If he makes more than 10 *** or less than 5. he does 40 push-ups. (A)
If he makes less than 8. he does 15 pull-ups. (B)
If he makes exactly 6 (his jersey number). he runs the length of the court and back 10 times.
If he makes between 3 and 12 (inclusive). he drinks a very tall glass of water. (D)
(He may do multiple exercises,)

***This initially incorrectly read 10 instead of 9. If you submitted your attempt before. l made the correction. I have regraded it.

Which of the following are independent ?
Select one or more:
a. A and B are independent.
b. C and D are independent.
c. A and D are independent.
d. A and C are independent.
e. B and D are independent,

Answer 1

b. C and D are independent

c. A and D are independent

e. B and D are independent.

Explanation:

The mutually exclusive events are one which cannot happen together. The event A and B are mutually exclusive events. These two cannot happen together . The independent events are those which can happen solely and their existence is not based on any other event.