`A_1`, `A_2` and `A_3` are 3 events definds on a simple space s.
Use sets-theoric rotations to represent the following events.
At least two of them will occur.

A_1 , A_2 and A_3 are 3 events definds on a simple space s. Use sets-theoric rotat6ions to represent the following events. None of them will occur.

A_1 , A_2 and A_3 are 3 events definds on a simple space s. Use sets-theory rotations to represent the following events. Exactly one of them will occur.

Let A, B, C be three arbitrary events. Find the expressions for the following events at least two events occur.

The odds against two events are 2:7 and 7:5 respectivel. If the events are independent, find the probability that at least one of them will occur.

Let A,B,C be three arbitrary events connected with a random experment. Write down the set-theoretic notations of the events whose verbal descriptions are given below: At least two events occur

Let A,B,C be three arbitary events. Find expressions for the following events using the usual set theoretic notations : At least two events occur

Let A,B,C be three arbitary events. Find expressions for the following events using the usual set theoretic notations : Both A and B occur but not C.

Let A, B, C be three arbitrary events. Find expressions for the following events using the usual set theoretic notations: Both A and B occur but not C.

The odds in favour of an event are 4:3 . The odds against another independent event are 2:3 . What is the probability that at least one of the events will occur ?

If A, A_1,A_2,A_3 are the areas of the inscribed and escribed circles of a DeltaABC, then