5 A coin is tossed three times. Consider the following events A: Heads on the fi

Question

5 A coin is tossed three times. Consider the following events A: Heads on the first toss. B: Tails on the second. C: Heads on the third toss. D: All three outcomes the same (HHH or TTT). E: Exactly one head turns up. L. E. Maistrov, Probability Theory: A Historical Sketch, trans, and ed. Samual Kotz (New York: Academic Press, 1974), P. 100. 4.1. DISCRETE CONDITIONAL PROBABILITY 151 (a) Which of the following pairs of these events are independent? (2) A, D (3) A, E (4) D, E (b) Which of the following triples of these events are independent? (2) A, B, D (3) C, D, E

Explanation / Answer

A : Heads on the first toss

B: Tails on the second

C: Heads on the third toss

D: All three outcomes are same

E: Exactly one head turns up

(a) Note that the first three events are independent of each other. The fourth and the fifth depend on the first three and thereby on each other.

The correct answer is (1) A,B

(b) As mentioned earlier, the first three events are independent.

The correct answer is (1) A,B,C

Related Questions

Navigate

• Browse (All)
• Browse 5
• Subjects

---

---

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