The five numbers 1,2,3,4, and 5 are written respectively onfive disk of the same

Question

The five numbers 1,2,3,4, and 5 are written respectively onfive disk of the same size and placed in a hat. Two disks aredrawn without replacement from the hat, and the numbers written onthe are observed. A) List the ten possible outcomes for this expierement asunordered pairs of numbers. B) If each of the 10 outcomes has the probability of 1/10,assign a value to the probability that the sum of the two numbersdrawn is (i) 3 (ii) between 6 and 8 inclusive. ................................................................... It seems to me that there would be more than 10 outcomes. Imust be thinking of it the wrong way. Thank you very much for yourhelp! The five numbers 1,2,3,4, and 5 are written respectively onfive disk of the same size and placed in a hat. Two disks aredrawn without replacement from the hat, and the numbers written onthe are observed. A) List the ten possible outcomes for this expierement asunordered pairs of numbers. B) If each of the 10 outcomes has the probability of 1/10,assign a value to the probability that the sum of the two numbersdrawn is (i) 3 (ii) between 6 and 8 inclusive. ................................................................... It seems to me that there would be more than 10 outcomes. Imust be thinking of it the wrong way. Thank you very much for yourhelp!

Explanation / Answer

The key is they are looking at UNORDERED outcomes. As aresult, (1, 5) is the same as (5, 1). Thus, the outcomesare... A) (1,2), (1,3), (1,4), (1,5), (2, 3), (2,4), (2,5), (3,4), (3,5),(4,5) B) i) P(S = 3) = P( drawing (1,2) ) = 1/10 ii) P(between 6 and 8) = P(6) + P(7) + P(8) = P((1,5) or (2,4)) +P((2,5) or (3,4)) + P((3,5)) = (1/10 + 1/10) + (1/10 + 1/10) +(1/10) = 5/10 = 1/2

Related Questions

Navigate

• Browse (All)
• Browse T
• Subjects

---

---

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