Question

calculating experimental probability
a random number generator is used to create a list of 200 single - digit numbers. of those 200 numbers, 105 are even and ninety - five are odd. seven was generated fifteen times.
what is the experimental probability of an odd number other than seven being generated?
40.0%
45.0%
47.5%
52.5%

Explanation:

Step1: Find number of odd - non - seven numbers

The total number of odd numbers is 95 and 7 was generated 15 times. So the number of odd numbers other than 7 is $95 - 15=80$.

Step2: Calculate experimental probability

The experimental probability $P$ is given by the formula $P=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}$. Here, the total number of outcomes is 200 and the number of favorable outcomes (odd numbers other than 7) is 80. So $P=\frac{80}{200}=0.4$.

Step3: Convert to percentage

To convert the decimal to a percentage, we multiply by 100. So $0.4\times100 = 40\%$.

Answer:

40.0%