Question

a random number generator is used to create a list of 300 single - digit numbers. of those 300 numbers, 146 are odd and 154 are even. the number 8 was generated 22 times.
what is the experimental probability of an even number other than 8 being generated? write your answer as a decimal to the nearest hundredths place.
0.23
0.35
0.44
0.52

Explanation:

Step1: Find the number of even numbers other than 8

The total number of even numbers is 154. The number of times 8 was generated is 22. So the number of even numbers other than 8 is \(154 - 22=132\).

Step2: Calculate the experimental probability

The formula for experimental probability \(P=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}\). Here, the number of favorable outcomes (even numbers other than 8) is 132 and the total number of outcomes is 300. So \(P = \frac{132}{300}\).

$$ \frac{132}{300}=\frac{132\div6}{300\div6}=\frac{22}{50} = 0.44 $$

Answer:

C. 0.44