Two dice are thrown simultaneously and ‘getting a number less than 3’ on a die is termed as a su

Step 1: Define the event of success. A success is defined as rolling a number less than 3 on a d

Two dice are thrown simultaneously and ‘getting a number...

Key Concepts

Binomial Distribution

The binomial distribution arises when a fixed number of independent Bernoulli trials are conducted, and the random variable represents the number of successes obtained. It provides a probability model characterized by two parameters: the number of trials and the probability of success in each trial, enabling the calculation of the probability for any number of successful outcomes within that sequence.

Bernoulli Trial

A Bernoulli trial is a random experiment with exactly two possible outcomes, commonly described as success and failure. The probability of success remains constant in each trial, and this framework provides a basis for analyzing repeated experiments with binary outcomes.

Probability Distribution

A probability distribution is a mathematical function that provides the probabilities of occurrence of different outcomes in a random experiment. It describes how probabilities are distributed over the values of a random variable, allowing a systematic approach to quantify and manage uncertainty in various situations.

Random Experiment

A random experiment is a process or action with an uncertain outcome where every possible outcome is well-defined. In probability theory, these experiments are performed under controlled conditions to analyze the possible results and to assign probabilities to each outcome based on a defined sample space.

Independent Events

Independent events are outcomes in a random experiment where the occurrence of one event does not affect the occurrence of another. This concept is crucial when analyzing experiments that involve multiple actions or trials, as it allows for the multiplication of probabilities when determining the likelihood of combined events.

Two dice are thrown simultaneously and ‘getting a number less than 3’ on a die is termed as a success. Obtain the probability distribution of the number of successes.

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