1
Blood Type

O

A

B

AB

US probability

0.45

0.4

0.11

0.04

China probability

0.35

0.27

0.26

0.12

The distribution of blood types in China distinct from US distribution. Select an American and Chinese at random, independently of each other. Find out the probability that both have type O blood? Find out the probability that both have the same blood type?
2. There are many manners to produce crooked dice. To load a die so that six comes up too often and 1 (which is opposite 6) comes up too seldom, add the bit of lead to the filling of spot on the 1 face. Because the spot is solid plastic, this works even with the transparent dice. If the die is loaded so that six comes up with probability 0.2 and probabilities of the 2,3,4, and 5 faces aren't affected, find out the assignment of probabilities to six faces?