Here are the essential concepts you must grasp in order to answer the question correctly.
Probability
Probability is a measure of the likelihood that a particular event will occur, expressed as a number between 0 and 1. In this context, it helps us quantify the chances of having at least one boy among three children, where each child has an equal chance of being a boy or a girl.
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Introduction to Probability
Complement Rule
The Complement Rule states that the probability of an event occurring is equal to 1 minus the probability of it not occurring. For this question, instead of directly calculating the probability of having at least one boy, we can find the probability of having no boys (all girls) and subtract it from 1.
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Binomial Distribution
The Binomial Distribution models the number of successes in a fixed number of independent Bernoulli trials, each with the same probability of success. In this scenario, the number of boys in three children can be modeled using this distribution, where 'success' is defined as having a boy.
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Mean & Standard Deviation of Binomial Distribution