IT102 Fall 2016 Quiz 3 Version A NOTE: It is not necessary to simplify your answ
ID: 3806910 • Letter: I
Question
IT102 Fall 2016 Quiz 3 Version A NOTE: It is not necessary to simplify your answers. You can leave them in combinatoric form or in fraction form. The quiz is worth 25 points, 5 points for each of the five questions. 1. A die is rolled twice: a. If s is the sample space, how many elements in S? are b. What is the probability you get the same number on the two tosses? (Show the vent space and its elements. Show your calculation of the probability.) c. What is the probability the total score is 5? (Show the Event Set and each element in it. Show your calculation of the probability.) d. What is the probability the total score is even? (Show the Event set and each element in it. Show your calculation of the probability.) e. What is the probability the total score is less than 7? how the Event Set and each element in it. Show your calculation of the probability.Explanation / Answer
a.
If a die is rolled twice,
if S is the sample space
n(S) = 36.
i.e 36 elements are in S.
b.
Probability of getting same number.
Elements = (1,1),(2,2),(3,3),(4,4),(5,5),(6,6)
n(A) = 6
probability of getting same number = n(A)/n(S)
= 6/36 = 1/6.
c.
total score is 5
P(B) = total score is 5
P(B) = (1,4),(2,3),(3,2),(4,1)
n(B) = 4
Probability of getting total score is 5 = 4/36 = 1/9
d.
total score is 7
P(D) = total score is 7
P(D) = (1,6),(2,5),(3,4),(4,3),(5,2),(6,1)
= 6/36 = 1/6
e.
total score is less than 7
P(C) = total score is less than 7
P(C) = (1,1),(1,2),(1,3),(1,4),(1,5),(2,1),(2,2)
(2,3),(2,4),(3,1),(3,2),(3,3),(4,1),(4,2)
(5,1)
= 15
P(C) = 15/36
Related Questions
drjack9650@gmail.com
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.