Question

Suppose a six-sided die is tossed 1200 times and a 6 comes up 419 times. (a) Find the empirical probability for a 6 to occur. (Enter your probability as a fraction.) (b) On the basis of a comparison of the empirical probability and the theoretical probability, do you think the die is fair or biased

Answer 1

Answer:

Here both probabilities are not equal.

Therefore the die is not fair and biased.

Step-by-step explanation:

Now n= 1200 times and x = 419 times.

a) Empirical Probability:

         $=\frac{x}{n} \\\\= \frac{419}{1200}\\ \\=0.349$

Probability = 0.349

b) Theoretical Probability:

                     $=\frac{1}{6}$

Here both probabilities are not equal.

Therefore the die is not fair and biased.