A concrete beam may fail either by shear S or flexure F Supp

A concrete beam may fail either by shear (S) or flexure (F). Suppose that three failed beams are randomly selected and the type of failure is determined for each one. Let X = the number of beams among the three selected that failed by shear. List each outcome in the sample space along with the associated value of X. SFF FSF FFS FSS SFS SSF

Solution

1.

We simply count the number of those which failed to fill the second row:

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S:	FFF	SFF	FSF	FFS	FSS	SFS	SSF	SSS
X	3	2	2	2	1	1	1	0