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Probability Questions 1B

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11. A couple has 3 children. What is the probability there are exactly two girls among them.
a. 3/8 b. 1/ 2 c. 7/8 d. 5/8

12. Same setup. What is the probability of at most 2 girls.
a. 3/8 b. 1/ 2 c. 7/8 5/8

13. If a restaurant offers 3 different appetizers, 5 entrees (main dishes), 4 desserts, and 6 drinks, how many possibilities are there if a person chooses something from each of the categories?
a. 18 b. 4 c. 360 d. 46

14. If an urn contains 20 numbered balls from 1 to 20 and you pick one, what is the probability the ball you pick has a number divisible by 3?
a. .2 b. .3 c. 1/3 d. .25

15. It's known that Linda has a Ph.D. in physics and was president of her class. Given this, what is more probable: Is it X - Linda works as a teller in a bank or is it Y - Linda works as a teller in a bank and is active in feminist causes?
a. X, more probable b. Y, more probable c. equally probable d. not enough info

16. What is the probability of rolling a pair of dice and getting 4 straight 8's?
a. 4*(5/36) b. 1 - (5/36)4 c. (8/36)4 d. (5/36)4

17. If a die is biased and there is a 15% chance that it lands on any of the numbers from 1 to 5, then what is the probability the die will land on 6?
a. 16.6% b. 15% c. 20% d. 25%

18. Which would likely have the smallest standard deviation?
a. the times it takes to drive along the same 15-mile route every week day at 9 AM
b. the times it takes to drive along the same 15-mile route every week day at 9 PM
b. the times it takes to do the same drive at random times during the week
c. the times it takes to walk one block to the convenience store at 9 PM

19. If 75% of the students achieve scores greater than 80, but 25% get aa 0 on the test, then
a. the median is greater than 80 and is greater than the mean
b. the median is about 40
c. the mean is greater than the median
d. not enough information to tell.

20. A roulette wheel (36 red, 36 black, 2 green sectors) is spun. What is the probability the wheel doesn't land on red?
a. 47.3% b. 50% c. 52,6% d. 5.3%

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11. A couple has 3 children. What is the probability there are exactly two girls among them.
a. 3/8 b. 1/ 2 c. 7/8 d. 5/8

There are 8 possible ways to have 3 children:
GGG
GGB
GBG
BGG
GBB
BGB
BBG
BBB

3 of these combinations have exactly 2 girls:
GGB
GBG
BGG

12. Same setup. What is the probability of at most 2 girls.
a. 3/8 b. 1/ 2 c. 7/8 5/8

There are 8 possible ways to have 3 children:
GGG
GGB
GBG
BGG
GBB
BGB
BBG
BBB

7 of these combinations have at most 2 girls (i.e. 2, 1, or 0 girls):
GGB
GBG
BGG
GBB
BGB
BBG
BBB

13. If a restaurant offers 3 different appetizers, 5 entrees (main dishes), 4 desserts, and 6 drinks, how many possibilities are there if a person chooses something from each of the categories?
a. 18 b. 4 c. 360 d. 46

3*5*4*6 = 460

14. If an urn contains 20 numbered balls from 1 to 20 ...

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  • BSc, California State Polytechnic University, Pomona
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  • "Hello, thank you for your answer for my probability question. However, I think you interpreted the second and third question differently than was meant, as the assumption still stands that a person still independently ranks the n options first. The probability I am after is the probability that this independently determined ranking then is equal to one of the p fixed rankings. Similarly for the third question, where the x people choose their ranking independently, and then I want the probability that for x people this is equal to one particular ranking. I was wondering if you could help me with this. "
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