CALCULATIONS

Posted: August 27th, 2021

CALCULATIONS

Question 1

The theoretical probability of rolling a fair die and getting one is.Therefore, there is one out of six chances of obtaining one in a fair die.

Question 2

The probability of obtaining one in a fair die is,

Therefore, the probability of rolling the die six times will be

Question 3

When an experiment is performed on rolling the die six times, it will give a different probability from the theoretical answer. Experimental probability results of an experiment, as it is an outcome’s probability based on what happens on practice or actuality, for instance, rolling the die and recording the actual results from the experiment. On contrarily, theoretical probability refers to calculating the probability of an event happening without actually experimenting with it. For instance, the probability for an event occurring in a perfect situation when a die is rolled six times.

Question 4

Experimental probability is different from theoretical probability. Experimental probability is an outcome’s probability based on what happens in practice or actuality after experimenting, while theoretical probability is the ideal probability of what is expected to occur in a perfect situation obtained through calculations.

Theoretical probability is given by;

Experimental probability is given by;

Question 5

On increasing the number of trials in rolling the die, the experimental probability gets closer and closer to the theoretical probability’s answer. This is because the more experiments I perform, the more possible outcomes when an experiment is done enough times.