In mathematics an Irrational number is defined as any number that cannot be written as a complete ratio of two integers. An irrational number cannot be fully written down in decimal form. It would have an infinite number of digits after the decimal point. All the given numbers have un-ended numbers after the decimal point so they are irrational numbers.
Choosing the coaches of the basketball teams is independent because which girl he chooses does not influence nor is it influenced by the choice for the boy