Suppose a certain candy is made up of red, yellow green, blue, and orange pieces

Question

Suppose a certain candy is made up of red, yellow green, blue, and orange pieces. a) If you draw one piece of candy, are the events of getting a green one and getting an orange one disjoint, independent, or neither? b) Assume you have an infinite supply of these candy pieces from which to draw. If you draw two pieces one right after the other, are the events of getting a red on the first and a red on the second disjoint, independent, or neither? c) Can disjoint events ever be independent? Explain. a) Choose the correct answer below. The events are neither disjoint nor independent because they are dependent events The events are disjoint because getting a green candy does not indicate anything about getting an orange candy, and vice versa. The events are disjoint because getting a green candy indicates that you cannot get an orange candy and vice versa. The events are independent because getting a green candy does not indicate anything about getting an orange candy and vice versa. The events are independent because getting a green candy indicates that you cannot get an orange candy, and vice versa. b) Choose the correct answer below. The events are disjoint because getting a red candy on the first draw indicates that you cannot get a red candy on the second draw, and vice versa. The events are neither disjoint nor independent because they are dependent events. The events are independent getting a red on the first draw does not indicate anything about getting a red candy on the second draw, and vice versa. The events are disjoint getting a red on the first draw does not indicate anything about getting a red candy on the second draw, and vice versa. The events are independent because getting a red candy on the first draw indicates that you cannot get a red candy on the second draw, and vice versa. c) Choose the correct answer below. Yes, because once it is known that one of a pair of disjoint events has occurred, the other one cannot occur, so its probability has become 0. No, because once it is known that one of a pair of disjoint events has occurred, the other one cannot occur, so its probability has become 0. No, because once it is known that one of a pair of disjoint events has occurred, the other has the same chance of occurring, so its probability has not changed. Yes, because once it is known that one of a pair of disjoint events has occurred, the other has a larger chance of occurring, so its probability has changed. No, because once it is known that one of a pair of disjoint events has occurred, the other one must occur, so its probability has become 1.

Explanation / Answer

Q1) The correct answer is D. The events are independent and do not influnce.

Q2) The correct answer is C.

Q3) The correct answer is B.

. Independent events are not disjoint.

Related Questions

Navigate

• Browse (All)
• Browse S
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.