If you roll a die 35 times and 7 of the rolls result in a "5," what empirical probability was observed for the event "5"?
XSX
To find the empirical probability, you need to divide the number of times the event occurred by the total number of trials. In this case, the event of interest is rolling a "5" on a die, and you rolled the die 35 times.
To calculate the empirical probability of rolling a "5," you divide the number of times you rolled a "5" (which is 7) by the total number of rolls (which is 35).
So, the empirical probability of rolling a "5" is 7/35.
To simplify this fraction, you can divide both the numerator and the denominator by their greatest common divisor, which is 7. Dividing both by 7, you get:
7/35 = 1/5.
Thus, the empirical probability of rolling a "5" is 1/5, or 0.2, which can also be expressed as 20%.