a. The probability that all 4 members on the committee will be girls is 22. (Type an integer or a simplified fraction.)
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The probability that all 4 members on the committee will be girls is generally expressed as a fraction, representing the favorable outcomes over the total possible outcomes. You would need to know the total number of girls and boys in the selection pool to calculate the exact probability. If, for example, there are 10 girls and 10 boys, the calculation would involve combinatorial mathematics, leading you to a fraction which might be reduced to its simplest form. In many contexts, finding committee compositions can also mirror real-world scenarios like selecting teams or project groups. Understanding these probabilities can help in recruitment strategies, ensuring diversity, or even within classrooms where teachers want a balanced mix of student participation. So, whether it's for corporate teams or school projects, grasping these concepts can enhance selection efficiency!