SOLUTION: 2.2.4. An experiment has four possible outcomes A, B, C, and D. Check whether the following assignments of probability are possible: (a) P(A) = 0.20, P(B) = 0.40, P(C) = 0.09, P(D

Question 1177089: 2.2.4. An experiment has four possible outcomes A, B, C, and D. Check whether the following assignments of probability are possible:
(a) P(A) = 0.20, P(B) = 0.40, P(C) = 0.09, P(D) = 0.31.
(b) P(A) = 0.41, P(B) = 0.17, P(C) = 0.12, P(D) = 0.36.
(c) P(A) = 1/8, P(B) = 1/2, P(C) = 1/4, P(D) = 1/8.
2.2.5. Suppose we toss two coins and suppose that each of the four points in the sample space
S = {(H, H ), (H, T ), (T, H ), (T, T )} is equally likely. Let the events be A = {(H, H ), (H, T )}
and B = {(H, H ), (T, H )}. Find P(A ∪ B).
Answer by ikleyn(52814) (Show Source): You can put this solution on YOUR website!
.


Regarding parts (a), (b) and (c), you should check if the sum


    P(A) + P(B) + P(C) + P(D)  is equal to  1


in each respective line.


If the sum is equal to 1 (one) in the line, the answer is "YES".


If the sum is different from 1, the answer is "NO".

Solved, answered and explained.

Regarding part 2.2.5, do not post more than one problem in one parcel.

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