Hello Everyone

How r u doing?

hmmm this is my homework, I've solved part of it but i faced some difficulties with the rest Qs.

so could some1 please help me

Prob. 1:

Let A and B be two events. Prove the following:

*P(A intercept B)>= P(A)+P(B)-1

*P(AUnion b)>=P(A)

Prob. 2:

A die is loaded in such a way that the probability of each face turning up is proportional to the number of dots on that face. (For example, a six is three times as probable as a two.) . The die is thrown once.

- What is the probability of getting 1?
- What is the probability of getting an odd number?
Prob. 3:

You have 2 coins, a fair one with P(H) = ½, and an unfair one with P(H) = 1/3. A coin is selected at random and tossed, falling heads up. How likely that it is the fair one?

Many thanx