Suppose a die is tossed 1500 times and a 3 comes up 601 times. Find the empirical probability for a 3 to occur. On the basis of a comparison of the empirical probability and the theoretical probability, do you think the die is fair or biased?
A) Pr(5) = The die is biased since Pr(3) should be about 1/6.
B) Pr(5) = The die is biased since Pr(3) should be about 1/6.
C) Pr(5) = The die is biased since Pr(3) should be about 1/6.
D) Pr(5) = The die is fair since Pr(3) should be about 5/6.
E) Pr(5) = The die is fair since Pr(3) should be about 5/6.

Question

Suppose a die is tossed 1500 times and a 3 comes up 601 times. Find the empirical probability for a 3 to occur. On the basis of a comparison of the empirical probability and the theoretical probability, do you think the die is fair or biased? ​
A) Pr(5) = The die is biased since Pr(3) should be about 1/6. 
B) Pr(5) = The die is biased since Pr(3) should be about 1/6. 
C) Pr(5) = The die is biased since Pr(3) should be about 1/6. 
D) Pr(5) = The die is fair since Pr(3) should be about 5/6. 
E) Pr(5) = The die is fair since Pr(3) should be about 5/6.

Quizplus · Accepted Answer

The empirical probability of getting a 3 is 601/1500 = 0.4, which is much higher than the theoretical probability of 1/6 (approximately 0.167). This suggests that the die is biased towards the number 3. Choice B states that the die is biased, and is therefore the correct answer.

Suppose a Die Is Tossed 1500 Times and a 3