THERESE ANNE Z. CATRAL STAT. ANALYSIS WITH SOFTWARE APP.
BSA - 3 NOVEMBER 26, 2022
QUIZ 2
1. The sample space S is all the ordered pairs of the two whole numbers, the first
from one to three and the second from one to four (Example: 1,4)).
a. S = {(1,1), (1,2), (1,3), (1,4), (2,1), (2,2), (2,3), (2,4), (3,1), (3,2), (3,3), (3,4)}
Let event A = the even numbers and event B = numbers greater than 13.
b. A = {(1,1), (1,3), (2,2), (2,4), (3,1), (3,3)}
B = {(2,1), (2,2), (2,3), (2,4), (3,1), (3,2), (3,3), (3,4)}
c. P(A) = ,P(B) =
1
22
3
d. A B = {(2,2), (2,4), (3,1), (3,3)}
∩
A B = {(1,1), (1,3),(2,1),(2,2),(2,3),(2,4),(3,1),(3,2),(3,3),(3,4)}
∪
e. P(A B) = , P(A B) =
∩1
3∪5
6
f. B′ = {(1,1),(1,2),(1,3),(1,4)}, P(B′) = 1
3
g. P(A) + P(A′) = 1
h. P(A|B) = =P(B|A) = =
𝑃(𝐴 ∩ 𝐵)
𝑃(𝐵) 1
2𝑃(𝐴 ∩ 𝐵)
𝑃(𝐵) 2
3
Are the probabilities equal? No.
