The Game of WIN Construct a set of nonstandard dice as shown in Figure 17.1.

Suppose that one player picks die \(A\) and that the other picks die \(B\), the dice are rolled, and the higher number wins. We can enumerate the sample space as shown here. We see that \(A\) 's probability of winning is \(\frac{24}{36}\), or \(\frac{2}{3}\). There are, of course, many other possible choices for the dice played. If you were to play the game of WIN, would you choose your die first or second? What is your probability of winning at WIN? This problem reminds you of which concept introduced in this section?

Figure 17.1

Transcribed Image Text:

B\A 0 3 3 3. 3 (3,0) 3 (3,0) (3,0) (3,0) 3 0 (3, 0) (3, 0) (3, 0) (3, 0) (3, 0) (3,0) (3,0) (3,0) B wins 4 (3,4) (3,4) 4 (3,4) (3,4) (3,4) (3,4) (3,4) (3.4) (3,4) (3,4) (3,4) 4 (3,4) (3,4) (3,4) (3,4) (3,4) (3,4) (3,4) (3,4) (3,4) (3,4) (3,4) (3,4) (3,4) A wins