Question

With dependent events involving colored tiles,after every pick, does the likelihood of picking a particular color of tile go up or down? Explain

Answer 1

Answer:

Down

Explanation:

Dependent events are events in which the outcomes are affected by previous outcomes.

In order to answer this question, the illustration below is used.

Consider a bag with 5 red and 5 blue tiles.

Since the events are dependent, the selection is made without replacement.

$\begin{gathered} P(\text{selecting 1st red tile)}=\frac{5}{10}=0.5 \\ P(\text{selecting 2nd red tile)}=\frac{4}{9}=0.44 \\ P(\text{selecting 3rd red tile)}=\frac{3}{8}=0.375 \end{gathered}$

Observe that after each pick of the red color, the likelihood of picking a red tile decreases.

Therefore, after every pick, the likelihood of picking a particular color of tile go down.