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What is the relationship between probability and the binomial theorem?
What is the symbol for a Probability of success in a binomial trial?
What is a binominal theorem?
The binomial theorem describes the algebraic expansion of powers of a binomial, hence it is referred to as binomial expansion.
Define binomial theorem?
The binomial theorem describes the algebraic expansion of powers of a binomial: that is, the expansion of an expression of the form (x + y)^n where x and y are variables and n is the power to which the binomial is raised. When first encountered, n is a positive integer, but the binomial theorem can be extended to cover values of n which are fractional or negative (or both).
Who invented binomial theorem?
AnswerThe binomial theorem has been known for thousands of years. It may have first been discovered in India around 500 BC.
What is the probability of having exactly 8 boys in 10 births?
For each birth, you have two choices - either a boy or a girl. Then, the probability for a certain birth to obtain a choice is ½. Using Binomial Theorem, we have (10 choose 8)(½)8(½)² = 45/1024.
