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# Explain why -0.41 cannot be the probability of some event.

### Resolved Question:

1. Explain why -0.41 cannot be the probability of some event.
2. Explain why 1.21 cannot be the probability of some event.
3. Explain why 120% cannot be the probability of some event?
3. Can the number 0.56 be the probability of an event?

4. If you roll a single die and count the number of dots on top, what is the sample space of all possible outcomes? Are the outcomes equally likely?
5. What is the probability of getting a number less than 5 on a single throw of a die.
6. What is the probability of getting 5 or 6 on a single throw?
7. You roll two fair dice, a green and red one. are the outcomes on the dice independent? Find P(1 on green die and 3 on red die).

8. Consider the following events for a college student selected at random:
A =student is female
B= student is majoring in business
Translate the following phrases into symbols.
a. the probability the student is male or is majoring in business
b. the probability a female student is majoring in business
c. the probability a business major is female
d. the probability the student is female and is not majoring in business
e. The probability the student is female and is majoring in business
Submitted: 5 years ago.
Category: Homework
Expert:  Chris M. replied 5 years ago.

Hello, and thanks for the question.

1. Probability can't be expressed as a negative number.

2. Probability can't be expressed as greater than 1.

3. Probability can't be expressed as greater than 100%.

3a. Yes, probability can be expressed as a decimal fraction that is ≥ 0 and ≤ 1.

4. Sample space is {1, 2, 3, 4, 5, 6}. All outcomes are equally likely.

5. 4/6 = 2/3 or 66.67%

6. 2/6 = 1/3 or 33.33%

7. Yes they are independent. P(1 on green die and 3 on red die) = 1/6 *1/6 =1/36.

8.

a. P(A') U P(B)

b. P(B|A) = P(A^B)/P(A)

c. P(A|B) = P(A^B)/P(B)

d. P(A) ^ P(B')

e. P(A) ^ P(B)

Hope this helps!

Customer: replied 5 years ago.
￼￼I was also struggling with this question I had.

24. are customers more loyal in the east or west? the columns represent length of customer loyalty (in years) at a primary supermarket. The rows represent regions of the united states.

less than 1 yr 1-2 years 3-4yrs 5-9 yrs 10-14 yrs 15 or more yrs row total
east: 32 54 59 112 77 118 452
midwest: 31 68 68 120 63 173 523
south: 53 92 93 158 106 158 660
west: 41 56 67 78 45 86 373
columntotal:157 270 287 468 291 535 2008

what is the probability that a customer chosen at random?
a). has been loyal 10-14 years?
b). has been loyal 10-14 years, given that he or she is from the east?
c). has been loyal at least 10 years?
d) has been loyal at least 10 years, given that he or she is from the west?
e) is from the west, given that he or she has been loyal less than 1 year?
f) is from the south, given that he or she has been loyal less than 1 year?
g) has been loyal 1 or more years, given that he or she is from the east?
h) has been loyal 1 or more years, given that he or she is from the west?
i) are the events from the east and loyal 15 or more years independent?

Expert:  Chris M. replied 5 years ago.