Answer to Question #281203 in Statistics and Probability for Anonymous005

Question

5. Let S = {1, 2} and T = {1, 2, 3}.

a. List all the subsets of S and T

C. What fraction of the subsets of T are also subsets of S

5. Let S = {1, 2} and T = {1, 2, 3}.

a. List all the subsets of S and T

C. What fraction of the subsets of T are also subsets of S

Answer 1

a.

$P(S)=\{\{\empty\},\{1\},\{2\},\{1,2\}\}$

$P(T)=\{\{\empty\},\{1\},\{2\},\{3\},\{1,2\},\{1,3\},\{2,3\},\{1,2,3\}\}$

b.

$4/|T|=4/8=1/2$