Write down the sample space when two coins are thrown simultaneously?

Define sample space.

If E be the random experiment of throwing an unbiased coin and S be its sample space and if H and T denotes the events of occurrence of head and tail respectively, then If two coins are thrown simultaneously or one coin is thrown two times, then find the sample space of E.

Write the sample space when one die is thrown twice.

If E be the random experiment of throwing an unbiased coin and S be its sample space and if H and T denotes the events of occurrence of head and tail respectively, then If three coins are thrown simultaneously or one coin is thrown three times, then find the sample space of E.

A fair die is thrown. Write down the sample space. What is the chance that either an odd number or a number greater than 4 will turn up ?

A coin and a six faced die, both unbiased, are thrown simultaneously. The probability of getting a head on the coin and an odd number on the die is -

An unbiased coin is tossed two times. Write down the sample space. Hence , find the probability of getting exactly one head.

A random experiment consists of three independent tosses of a fair coin write down the sample space let x be the number of heads obtained obtain the probability distribution of x and calcualte its expectation and variance

Write down the sample spaces of the random experiments of (i) tossing an unbiassed coin until a head appears, (ii) throwing an unbiased die until a 2 turns up.

Two letters are drawn at random from the word HOME. Write down the sample space. Now find the probability that, both the letters are vowels, at least one is a vowels, one of the letters chosen should be 'M'