a. The probability that all 4 members on the committee will be girls is \( \frac{9}{133} \). (Type an integer or a simplified fraction.)
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The Deep Dive
The probability of selecting all 4 girls for the committee suggests a scenario where there are 9 girls and a total number of possible candidates that leads to \( \frac{9}{133} \) being the probability. To get an accurate number of total candidates, consider that the selection is likely from a larger mixed group of boys and girls. To delve deeper, it's important to consider the composition of the committee stands out in terms of gender representation, as this probability reflects that out of all the combinations when selecting 4 members, only a small portion results in an all-girl committee. Think of it as a little hidden gem amongst a sea of mixed potential!