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A manager of an inclusive sports programme in schools was concerned about the lack of girls being recruited on to the programme. There were thirty places on the programme and fifty children had applied, of which only ten were girls. Theoretically, all the children in the participating schools have an equal probability of being recruited as they all match the selection criteria, i.e. they are children at a participating school. However, the manager has data that suggests that boys are more likely to join school based sports programmes than girls based on data from across the school sports programme nationally and from within her own programme historically. However the manager has heavily promoted this initiative, specifically targeting girls and therefore wants to determine the probability that still fewer girls than boys will join. What formula could she use to determine this probability?
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