Question

Suppose a six-sided die is tossed 1200 times and a 6 comes up 479 times. (a) Find the empirical probability for a 6 to occur. (Enter your probability as a fraction.)

Answer 1

`Probability = (479)/(1200)`

Explanation:

Given

`Total = 1200`

`Occurrence = 479`

Required

Determine the empirical probability

Empirical probability is calculated as:

`Probability = (Number\ of\ times\ an\ event\ occur)/(Number\ of\ total\ occurrence)`

In this case, it is:

`Probability = (Number\ of\ times\ 6\ occur)/(Number\ of\ toss)`

Substitute values for the numerator and denominator

`Probability = (479)/(1200)`