Binomial Distribution Probability Marbles

Success yes true one with probability p or failure no false zero with probability q 1 p.
Binomial distribution probability marbles. The probability of drawing any set of green and red marbles the hypergeometric distribution depends only on the numbers of green and red marbles not on the order in which they appear. In probability theory and statistics the binomial distribution with parameters n and p is the discrete probability distribution of the number of successes in a sequence of n independent experiments each asking a yes no question and each with its own boolean valued outcome. Find the probability you get exactly 3 blue marbles. What is a binomial probability.
In binomial probability distribution the number of success in a sequence of n experiments where each time a question is asked for yes no then the boolean valued outcome is represented either with success yes true one probability p or failure no false zero probability q 1 p. As a result the probability of drawing a green marble in the draw is. Because the probability of success p is not the same for each trial we cannot use the binomial formula. A probability for a certain outcome from a binomial distribution is what is usually referred to as a binomial probability.
In simple words a binomial distribution is the probability of a success or failure results in an experiment that is repeated a few or many times. The binomial distribution describes the probability of having exactly x successes in n independent trials with probability of a success. We have only 2 possible incomes. The prefix bi means two.