Are the outcomes of every experiment equally likely

Suppose that all the four possible outcomes e_1 , e_2 , e_3 , e_4 of an experiment are equally likely. Define the events A, B, C as A = (e_1, e_4) , B = (e_2, e_4) . What can you say about the dependence or independence of events A, B, C?

A die has six faces numbered from 1 to 6. It is rolled and the number on the top face is noted. When this is treated as a random trial. a) What are the possible outcomes ? b)Are they equally likely? Why? c) Find the probability of a composite number turning up on the top face.

Suppose that all the four possible outcomes e_(1),e_(2),e_(3) and e_(4) of an experiment are equally likely. Define the events A, B, C as A={e_(1), e_(4)}, B={e_(2),e_(4)}, C={e_(3), e_(4)} What can you say about the dependence or independence of the events A, B and C ?

Which of the following experiments have equally likely outcomes? Explain. A driver attempts to start a car. The car starts or does not start.

Which of the following experiments have equally likely outcomes? Explain. A baby is bom. It is a boy or a girl.

Which of the following experiments have equally likely outcomes? Explain. A trial is made to answer a true false question. The answer is right or wrong.

Which of the following experiments have equally likely outcomes? Explain. A player attempts to shoot a basketball. She/he shoots ormisses the shot.

Three fair coins are tossed once. Construct the sample space of the outcomes of the random experiment. Find the probability of getting two heads.

A coin is tossed.if the outcome of the random experiment of tossing the coin is tail , we throw an unbiased die. But if the coin shows a head. We draw a ball from a bag containing 2 white and 3 back balls. Write down the sample space associated with this random experiment.

An unbiased coin is tossed . If the outcome of the random experiment of tossing the coin is head,we draw a ball from an urn containing 4 red and 3 white balls. But if the coin shows a tail, we throw an unbiased die. Find the sample space associated to this random experiment.