What is calculated by multiplying each of the possible outcomes in the sample space with the likelihood of their occurrence, and then summing up all the values?

When a dice is rolled, what are all the possible outcomes?

A die is thrown repeatedly untill a six comes up.What is the sample space for this experiment?

What is sum of the probablities of all the possible events of a random experiment ?

Suppose each child born is equally likely to be a boy or a girl. Consider the family with exactly three children. List the eight elements in the sample space whose outcome are all possible gender of three children. Write each of the following evens as a set and find its probability: The event that exactly one child is girl. The event that at least two children are girls. The event that no child is a girl.

Two dice,one blue and one grey,are thrown at the same time.Write down all the possible outcomes.What is the probability that the sum of the two numbers appearing on the top of the dice is (ii) 13? (iii) less than or equal to 12?

A black die and a white die are thrown at the same time. Write all the possible outcomes. What is the probability? that the sum of the numbers appearing on the top of the dice is less than or equal to 12? that the product of numbers appearing on the top of the dice is less than 9. (iii) that the difference of the numbers appearing on the top of the two dice is 2.

Read the following passage and answer the question The results of a random experiment is known as an outcome. The set of all possible outcomes of a random experiment is called the sample space. It is denoted by S. The outcomes satisfying particular condition are called favourable outcomes. A set of favourable outcomes is called an event. Event is a subset of the sample space. There are different types of events. (a) An event consisting of only one sample point is called an ememtntary event. (b) An event which does not contain any sample point is called an impossible event. How many outcomes are there in a random experiment of tossing two coins simultaneously? What are they ?

Read the following passage and answer the question The results of a random experiment is known as an outcome. The set of all possible outcomes of a random experiment is called the sample space. It is denoted by S. The outcomes satisfying particular condition are called favourable outcomes. A set of favourable outcomes is called an event. Event is a subset of the sample space. There are different types of events. (a) An event consisting of only one sample point is called an ememtntary event. (b) An event which does not contain any sample point is called an impossible event. Write an impossible event in a random experiment of rolling a die.

Read the following passage and answer the question The results of a random experiment is known as an outcome. The set of all possible outcomes of a random experiment is called the sample space. It is denoted by S. The outcomes satisfying particular condition are called favourable outcomes. A set of favourable outcomes is called an event. Event is a subset of the sample space. There are different types of events. (a) An event consisting of only one sample point is called an ememtntary event. (b) An event which does not contain any sample point is called an impossible event. Write two elementary events of the above experiments.

A black die and a white die are thrown at the same time.Write all the possible outcomes. What is the probability? that the sum of the two numbers that turn up is 8? of obtaining a total of 6? (iii) of obtaining a total of 10?