A coin is tossed 764 times and comes up heads 397 times. Use the Empirical Method to approximate the probability that the coin comes up heads.
A) 0.52
B) 0.5
C) 0.342
D) 0.48

Question

Quizplus · Accepted Answer

The empirical method involves using the frequency of occurrence of an event in a sample to estimate the probability of that event in the population. In this case, the frequency of getting heads in the sample of 764 coin tosses is 397. Therefore, the estimated probability of getting heads is:

P(heads) ≈ number of heads / total number of tosses = 397/764 ≈ 0.52

The closest answer choice to this estimate is A) 0.52, so that is the best choice.

A Coin Is Tossed 764 Times and Comes Up Heads