16. Assign the probability in each of the following situations. Explain your app

Question

16. Assign the probability in each of the following situations. Explain your approach. a) Roll 16 dice all at once. Get seven 3's. b) Getting mugged walking through a bad neighborhood c) Green Bay Packers will beat Pittsburgh Steelers in early season game d) An asteroid will impact on the moon. e) A fatal auto accident will occur on the interstate over the holiday weekend. f) The sun will set today. 8) Blind-folded, throw darts at a checkerboard. I deck of cards. Get 5 You will know the next person you meet, given that you are at school. You will know the next person you meet, given that you are at the airport. i) Draw 20 cards from a normal deck of cards. They are all red. You will fall down the next time you go roller skating k) I)

Explanation / Answer

16.

a. Get 7 3s?

This is like applying binomial pdf function, any 7 of 16 should be 3s

P(X=3) = 1/6

P(X!=3) = 5/6

So, 16C7 (1/6)^7 (5/6)^9 = .00792

b. 1/2, you will either get mugged or will not get mugged

c. 1/2 , they will either beat or not beat Pittsburgh Steelers

d. 1/2. it will or will not impact moon

e. 1/2, it will happen or not happen, there is an equal probability

f. 1, as sun is garaunteed to set in , everyday

g. 1, as there is not condition given wether the darts should hit or not hit

h. P(Ace) = 1/13, So, 5 aces from 5 cards = (1/13)^5

i. 1/2, you know him or do not know him

j. Same, 1/2, for the reason in i)

k. P(Red) = 1/2, so, P(X=20) = (1/20)^20

l. 1/2, you will fall or not fall, so equal probability

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