A. Of 300 games that were randomly checked,6 games were defective.what is the experimental probability that a game is defective. And B.If the trend continues at this rate what is the best prediction of the number of defective games if 1,800 games were produced by this company
Best estimate = 6/300 = ?
? * 1800 = ??
To find the experimental probability of a game being defective, you need to divide the number of defective games by the total number of games checked.
A. The experimental probability of a game being defective can be found using the formula:
Experimental Probability = Number of Defective Games / Total Number of Games Checked
In this case, there were 6 defective games out of 300 games checked. Plugging these values into the formula:
Experimental Probability = 6 / 300 = 0.02
Therefore, the experimental probability that a game is defective is 0.02 or 2%.
B. To predict the number of defective games if 1,800 games were produced, you can use proportional reasoning.
Since the trend of defective games is given, you can use it as a ratio to estimate the number of defective games in the future. The ratio of defective games to the total games checked is the same, so you can set up a proportion:
Defective Games / Total Games Checked = Defective Games (in the future) / Total Games (in the future)
Using the given values:
6 / 300 = Defective Games (in the future) / 1800
Cross-multiplying:
6 * 1800 = 300 * Defective Games (in the future)
Dividing both sides by 300:
Defective Games (in the future) = (6 * 1800) / 300
Simplifying the equation:
Defective Games (in the future) = 36
Therefore, if the trend continues, the best prediction for the number of defective games if 1,800 games were produced is 36 games.