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What are Bernoulli Trials? - Probability, Class 12, Math Video Lecture | Mathematics (Maths) Class 12 - JEE

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FAQs on What are Bernoulli Trials? - Probability, Class 12, Math Video Lecture - Mathematics (Maths) Class 12 - JEE

1. What is the definition of Bernoulli Trials?
Ans. Bernoulli Trials are a sequence of independent experiments or trials that have only two possible outcomes, usually referred to as success or failure. Each trial has the same probability of success, denoted by p.
2. What is the formula to calculate the probability of a specific number of successes in Bernoulli Trials?
Ans. The formula to calculate the probability of having exactly k successes in n Bernoulli Trials is given by the binomial probability formula: P(X=k) = (nCk) * p^k * (1-p)^(n-k), where nCk represents the binomial coefficient.
3. Can you give an example of Bernoulli Trials in real life?
Ans. Yes, an example of Bernoulli Trials in real life is tossing a fair coin. Each toss has two possible outcomes: getting a head or a tail. If we assume that the coin is unbiased and has an equal chance of landing on either side, then each toss can be modeled as a Bernoulli Trial.
4. What is the expected value of Bernoulli Trials?
Ans. The expected value or mean of Bernoulli Trials is given by E(X) = np, where n is the number of trials and p is the probability of success in each trial. This represents the average number of successes we would expect to obtain in a given number of trials.
5. How are Bernoulli Trials different from binomial experiments?
Ans. Bernoulli Trials are a special case of binomial experiments, where the number of trials (n) is fixed at 1. In Bernoulli Trials, we are interested in the probability of a single success or failure. On the other hand, binomial experiments involve multiple independent trials, and we are interested in the probability of obtaining a specific number of successes in those trials.
204 videos|288 docs|139 tests

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