You decide to purchase 3 tech stocks and 2 non-tech stocks at random from the fo

Question

You decide to purchase 3 tech stocks and 2 non-tech stocks at random from the following.

(a) How many possible selections are possible?

(b) How many of the selections in part (a) consist only of stocks that declined in value by the end of the day? What is the probability that all of your stocks declined in value by the end of the day?

(c) In how many selections did all of the tech stocks and none of the non-tech stocks decline in value by the end of the day?

Tech Stocks Open Change Non-tech stocks Open Change NY $5.46 +.07 PENN $27.09 +.71 MSFT $24.89 -.26 DUK $22.04 -.01 CSCO $23.17 -.67 KSE $37.75 +.18 NOK $20.77 -.75 ED $44.51 -.39 INTC $27.20 -.71 MO $55.04 -.37 EBAY $69.34 -1.04 AACE $27.09 +.49

Explanation / Answer

a) 3 tech and 2 non tech

Ways = 6C3 * 6C2

Ways = 300

b) Stocks declined selection:

Ways = 5C3 * 3C2 = 30

Probability = 30/300 = 0.1

c) Selections where all of the tech stocks and none of the non-tech stocks decline in value by the end of the day:

Ways = 5C3 * 3C2 = 30

Related Questions

Navigate

• Browse (All)
• Browse Y
• Subjects

---

---

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