Compute the indicated probabilities in Problems 21 and 22 by referring to the fo

Question

Compute the indicated probabilities in Problems 21 and 22 by referring to the following probability tree: P(M n S) P(R) P(N n R) P(S) A fair coin is tossed twice. Consider the sample space S = {HH, HT, TH, TT} of equally likely simple events. We are interested in the following events: E_1 = a head on the first toss E_2 = a tail on the first toss E_3 = a tail on the second toss E_4 = a head on the second toss For each pair of events, discuss whether they are independent and whether they are mutually exclusive. E_1 and E_4 E_1 and E_2 For each pair of events (see Problem 23), discuss whether they are independent and whether they are mutually exclusive. E_1 and E_3 E_3 and E_4

Explanation / Answer

23. A. Events E1 and E4 are independent because E1 is a head on first toss and E4 is a head on second toss, the result of both the tosses are independent of each other.

B. Events E1 and E2 are mutually exclusive because  E1 is a head on first toss and E2 is a tail on first toss. we cant get both head and tail in one toss

24. A. Independent

B. mutually exclusive

Related Questions

Navigate

• Browse (All)
• Browse C
• Subjects

---

---

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