Chapter 11.2, Problem 34PPSE

Solution

a.

To state: The experimental probability that team A wins the next match after that the experimental probability that team B wins the next match if out of four games, team A has won one game and team B has won three games in a championship series.

The resultant probabilities are $P\left(A\text{wins}\right)=0.25\text{and}P\left(B\text{wins}\right)=0.75$ .

Given information:

Out of four games, team A has won one game and team B has won three games in a championship series.

Explanation:

Total games: 4

Team A has won one game out of 4, and then the probability that team A wins is:

  $\begin{array}{c}P\left(A\text{wins}\right)=\frac{1}{4}\\ =0.25\end{array}$

Team B has won three games out of 4, and then the probability that team B wins is:

  $\begin{array}{c}P\left(B\text{wins}\right)=\frac{3}{4}\\ =0.75\end{array}$

Therefore, the probability of team A wining the game is 0.25 and the probability of team B wining the game is 0.75 and

b.

To state: Whether experimental probability is a good predictor of the winner of the next game.

Yes. Experimental probability is a good predictor of the winner of the next game.

Given information:

The given statement says to explain whether experimental probability is a good predictor of the winner of the next game.

Explanation:

When the circumstance or issue is really tested, experimental probability is computed. An experiment is conducted in this scenario and the real findings are used to calculate the likelihood.

Yes. Experimental probability is the god predictor of the winner of the next game because through it, the chances of winning of each team can be guessed approximately.