Provide an appropriate response.
-When a balanced die is rolled, the probability that a four will appear is $\frac { 1 } { 6 }$ Which of the following statements is a reasonable conclusion? A: If I roll a balanced die 6 times I will get one four
B: If I roll a balanced die 300 times I will get fifty fours
C: If I roll a balanced die 1200 times, I will get approximately 200 fours

Question

Quizplus · Accepted Answer

The probability of rolling a four is $\frac{1}{6}$. Over a large number of rolls, the expected number of fours is the total rolls multiplied by $\frac{1}{6}$. Thus, rolling 1200 times gives an expected 200 fours, making C reasonable. A and B are not reasonable because they imply certainty rather than probability.

Provide an Appropriate Response 16\frac { 1 } { 6 }61​

Provide an Appropriate Response $\frac { 1 } { 6 }$