What is the sample space and corresponding probability


Suppose that you roll 2 dice and consider the sum of the two. Let A be the event of throwing odd, B be the event of throwing 4 or less and C be the event of throwing a multiple of 3.

a) What is the sample space S and the corresponding probability of each element of S.
b) Compute P(A), P(B) and P(C). Which rule do you see?
c) Which elements belong to AUB?
d) Show that P(AUB) is 11/18.
e) Which elements belong to AnB? Calculate P(AnB).
f) Calculate P(A|B) by rule F, and then show with Rule E that A and B are not independent.
g) Which elements belong to AnC? show that P(AnC) is 1/6.
h) Calculate P(A|C) by rule F and then show with Rule E that A and C are independent.

Request for Solution File

Ask an Expert for Answer!!
Basic Statistics: What is the sample space and corresponding probability
Reference No:- TGS093266

Expected delivery within 24 Hours