Question

Which of the following show an element of the sample space for shooting 2 free throws in basketball? (X = Make, O = Miss)

Answer 1

A, B, C, and D, are ALL elements of the sample space for shooting two free throws in basketball.

An "element" of a sample space is a possible outcome in the sample space. It's possible to make both shots (i.e. A is an element), it's possible to miss both shots (i.e. B is an element), and it's possible to make one shot and miss the other, (i.e. C, and D are also elements).

Answer 2

Hint:
the sample space is {(X,X),(X,O),...}
you could complete the list. Each ordered pair is an element of the outcome.