Question

9. Consider an experiment that consists of determing the type of job (either blue-collar or white-collar) and the political affiliation (Republican, Democrat, or Independent) of the 15 members of an adult soccer team. How many outcomes are

Answer 1

Answer:

$6^{15}$

Step-by-step explanation:

An outcome is a possible result of an event. Sample space is the set of all possible outcomes.

An event is a subset of the sample space.

Let B, W denotes blue-collar, white-collar respectively.

Let R, D and I denotes republican, democrat, or independent respectively.

Number of members of an adult soccer team = 15 members

To find:Number of outcomes

Sample space:

$S=\left \{ \left ( (x_1,y_1),(x_2,y_2),...,(x_{15},y_{15}) \right )|x_i\varepsilon \left \{ B,W \right \} \,,\,y_i\varepsilon \left \{ R, D, I \right \}\right \}$

So. n(S) = $\left ( 2\times 3 \right )^{15}=6^{15}$