Consider a bag that contains 227 coins of which 4 are rare Indian pennies. For t

Question

Consider a bag that contains 227 coins of which 4 are rare Indian pennies. For the given pair of events A and B, complete parts (a) and (b) below. A: When one of the 227 coins is randomly selected, it is one of the 4 Indian pennies. B: When another one of the 227 coins is randomly selected (with replacement), it is also one of the 4 Indian pennies. a. Determine whether events A and B are independent or dependent. b. Find P(A and B), the probability that events A and B both occur. a. Choose the correct answer below. A. The two events are dependent because the 5% guideline indicates that they may be treated as dependent. B. The two events are independent because the occurrence of one does not affect the probability of the occurrence of the other. C. The two events are independent because the 5% guideline indicates that they may be treated as independent. D. The two events are dependent because the occurrence of one affects the probability of the occurrence of the other. b. The probability that events A and B both occur is (Round to six decimal places as needed.)

Explanation / Answer

Solution:-

a. The two events are independent because the occurrence of one does not affect the probability of the occurrence of the other.

b. The probability that events A and B both occur is 0.000315.

(4 / 227) x (4 / 224) = 0.00031466331

Related Questions

Navigate

• Browse (All)
• Browse C
• Subjects

---

---

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