Chapter 12.4, Problem 27PPS

To determine

Verify that the statement is true or false.

Answer to Problem 27PPS

  $False$ .

Explanation of Solution

Given information:

Theoretical probabilities are based on results of experiments.

Calculation:

Theoretical probability is calculated when all the outcomes in the samples have equal chances to occur. For example flipping a coin has two outcomes in the sample space head and tail. So, the probability that a head will come is $\frac{1}{2}=0.5$ and tail will come is $\frac{1}{2}=0.5$ .

Experimental probability is calculated by an experiment (flipping a coin $100$ times), by a survey or by history an event. For example flipping a coin $100$ times, gives $32heads$ and $68tails$ , so the probability of head will be $\frac{32}{100}=0.32,tailis\frac{68}{100}=0.68$

Hence, the statement is $False$ .