The required theoretical probability that a 5 rolled is 15.827.
A fair six-sided die is rolled 1800 times, the theoretical probability that a 5 is rolled is to be determined.
What is probability?
Probability can be defined as the ratio of favorable outcomes to the total number of events. Probability has a value between zero and one.
Theoretical probability is the probability that is defined on the grounds of logic.
Sample space for die = { 1, 2, 3, 4, 5, 6, }
Total sample space = 6
probability of getting success at once = 1/6
Probability of failure = 1 - 1/6
= 5/6
So, theoretical probability can be given as,
= √[1800(probability of success)(probability of failure)]
= √[1800( 1/6 )( 5/6 )]
= √[1800*0.167*0.833]
= √[1800*0.139]
= √[250.5]
= 15.827
Thus, the required theoretical probability that a 5 rolled is 15.827.
Learn more about probability here:
brainly.com/question/14290572
#SPJ2
