A six-sided die is rolled two times. What is the theoretical fractional probability that the first number is even and the second number is odd?​

The theoretical probability that the first number is even and the second number is odd is .

Step-by-step explanation:

Since each dice has six sides, and there are two die, the total amount of different outcomes are or 36. The probability of getting an even number on the first roll is or , and the probability of getting an odd number on the second roll is also or , so the probability of getting an even number on the first roll and an odd number on the second roll is .

attachment?

step-by-step explanation:

d. 24+-0.114

step-by-step explanation:

the question requires us to calculate the approximate 95% confidence interval for the mean number of ounces of ketchup per bottle in the sample given the following statistics;

sample mean = 24

standard deviation, σ = 0.4

sample size , n = 49

the confidence interval for a population mean is calculated using the formula;

sample mean ± z-score*(σ/sqrt(n))

the z-score associated with a 95% confidence interval, from the standard normal tables, is;

1.96

substituting these values into the formula;

24 ± 1.96*(0.4/7)

= 24 ± 0.112

from the alternatives given, choice d is closest to the above expression;