Certainly! When we talk about experimental probability, we're looking at what has already happened in past trials or experiments to predict the likelihood of something happening in the future. In Gloria's case, we are looking at her past basketball games to predict the probability that she will score 14 or more points in the next game.
Let's break down the data in the table:
Game 1: Gloria scored 16 points (14 or more)
Game 2: Gloria scored 20 points (14 or more)
Game 3: Gloria scored 19 points (14 or more)
Game 4: Gloria scored 14 points (14 or more)
Game 5: Gloria scored 14 points (14 or more)
Game 6: Gloria scored 12 points (less than 14)
Game 7: Gloria scored 17 points (14 or more)
Now, let's count the number of games where Gloria scored 14 or more points. I put notes in the parentheses for each game to show which games meet this criteria.
1. Game 1 - Yes
2. Game 2 - Yes
3. Game 3 - Yes
4. Game 4 - Yes
5. Game 5 - Yes
6. Game 6 - No
7. Game 7 - Yes
She scored 14 or more points in 6 games out of the 7 games she played.
To find the experimental probability, we take the number of times the event we're interested in happened (Gloria scoring 14 or more points) and divide it by the total number of trials (games) she played. In other words, the probability is:
(Number of games where Gloria scored 14 or more points) / (Total number of games she played)
= 6/7
And that's our answer! The experimental probability that Gloria will score 14 or more points in the next game, based on her past performance, is 6/7.