A factory inspector found flaws in 9 out of 75 wooden boxes. What is the experimental probability that the next wooden box will be flawed?
Simplify your answer and write it as a fraction or whole number.
the fraction is 9/75 or 3/25
To find the experimental probability, we need to determine the number of favorable outcomes (flawed wooden boxes) and the total number of outcomes (total number of wooden boxes).
In this case, the number of favorable outcomes is 9, as the factory inspector found flaws in 9 wooden boxes. The total number of outcomes is 75, as there are 75 wooden boxes in total.
The experimental probability is then given by:
Experimental Probability = Number of Favorable Outcomes / Total Number of Outcomes
Plugging in the values, we get:
Experimental Probability = 9 / 75
Now, let's simplify the fraction. Both 9 and 75 have a common factor of 3. Dividing 9 by 3 gives us 3, and dividing 75 by 3 gives us 25. So, the fraction can be simplified to:
Experimental Probability = 3 / 25
Therefore, the experimental probability that the next wooden box will be flawed is 3/25.