Question

To perform a certain type of blood analysis, lab technicians must perform two procedures. The first procedure requires either one or two separate steps, and the second procedure requires either one, two, three or four steps. How many experimental outcomes exist for the blood analysis experiment?

Answer 1

The number of experimental outcomes for the given blood analysis experiment is eight (8).

What is an experimental outcome?

Experiment is a scientific procedure undertaken to make a discovery, test a hypothesis, or demonstrate a known fact.

After the experiment, the result of the random experiment is known. An outcome is a result of a random experiment.

For the given experiment,

Procedure 1 [n(P1)] can be done one or two steps.

Procedure 2 [n(P2)] can be done in one, two, three or four steps.

So the total number of outcomes (N) in this experiment is;

                     n(P1)= 2 and n(P2)= 4

                     N= n(P1) *n(P2)

                     N= 2*4= 8

The total number of experimental outcomes can also be calculated as (x,y) where ‘x’ is a number of steps of Procedure 1 and ‘y’ is a number of steps of Procedure 2.

Suppose (x,y)= (1,1) means one step is performed of Procedure 1 and one for Procedure 2.

Therefore, (1,1), (1,2), (1,3), (1,4), (2,1), (2,2), (2,3), (2,4) i.e. 8 are the possible outcomes.

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