4. Given the probabilities: P(rain)-5 P(wind) 2 and P(neither rain nor wind) = .

Question

4. Given the probabilities: P(rain)-5 P(wind) 2 and P(neither rain nor wind) = .45 Use a Venn diagram to find (a) P(rain and wind) (b) P(rain or wind) 5. A fair coin is tossed and a fair die is rolled. The experiment is repeated 8 times. The results are: H2, H5, T2, H6, T3, T2, H1, H4. Find the following empirical (experimental) probabilities: (a) The coin is heads (b) The die is odd or the coin is heads (c) The die is odd and the coin is heads. 6. A fair coin is tossed and a fair die is rolled. Write a sample space including all possible outcomes and find the following theoretical probabilities: (a) The coin is heads (b) The die is odd or the coin is heads (c) The die is odd and the coin is heads. 7. A spinner can result in only red, blue, or green. If the probability of red is P(red)- 2 and the probability of blue is P(blue)- (a) What is the probability of green? (b) What is the probability of yellow? (c) What is the probability P(not blue)?

Explanation / Answer

Please post 1 question per post as per forum rules. Write back to me in case you don't understand any part of it:

7. There are 3 color results: Red, Blue or Green

P(red) = 1/2

P(blue) = 1/3

a. P( green) = ?

Since our sample space consists of 3 colors ( R, B, G) thier probabilities will sum upto 1. So, P(R)+P(B)+P(G) = 1

So, 1/2 + 1/3 + P(green) = 1

P(green) = 1/6

b. P( yellow) = 0, since it isn't in the sample space

The first line ( a spinner..only red, blue or green) specifies that

c. P( not blue) = 1- P( blue) = 1-1/3 = 2/3

Related Questions

Navigate

• Browse (All)
• Browse 4
• Subjects

---

---

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