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, the probability of each child being a girl is 0.5, since there are two equally likely outcomes: boy or girl. Understanding how to calculate probabilities is essential for solving questions related to random events.
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Independent Events
Independent events are those whose outcomes do not affect each other. In this scenario, the gender of each child is independent of the others, meaning the outcome of one child's gender does not influence the others. This concept is crucial for calculating the overall probability of multiple events occurring together.
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Multiplication Rule of Probability
The multiplication rule of probability states that the probability of multiple independent events occurring together is the product of their individual probabilities. For this question, to find the probability that all three children are girls, you would multiply the probability of each child being a girl (0.5) three times, resulting in (0.5) × (0.5) × (0.5).
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