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? 3 O Pr(S) = 601 The die is biased since Pr(3) should be about 1/6. O Pr(5) = 15000 The die is biased since Pr(3) should be about 1/6. 151 O Pr(5)= 353 The die is biased since Pr(3) should be about 1/6. 598 O Pr(5) = 001 The die is fair since Pr(3) should be about 5/6. Pr(5)= The die is fair since Pr(3) should be about 5/6.

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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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?
3
Pr(5) = 601
O
The die is biased since Pr(3) should be about 1/6.
601
Pr(5) = 1500
The die is biased since Pr(3) should be about 1/6.
151
Pr(5)= 375
The die is biased since Pr(3) should be about 1/6.
598
Pr(5) = 601
The die is fair since Pr(3) should be about 5/6.
Pr(5) =
The die is fair since Pr(3) should be about 5/6.
Transcribed Image Text: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? 3 Pr(5) = 601 O The die is biased since Pr(3) should be about 1/6. 601 Pr(5) = 1500 The die is biased since Pr(3) should be about 1/6. 151 Pr(5)= 375 The die is biased since Pr(3) should be about 1/6. 598 Pr(5) = 601 The die is fair since Pr(3) should be about 5/6. Pr(5) = The die is fair since Pr(3) should be about 5/6.
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