you roll number cube numbered one to six 12 times. p (5) =2/3. what type of probability is illustrated and why

This is experimental probability:

ep=number of observed specific outcomes divided by total number of observations.

However, the more observations you make the closer and closer you will get to the theoretical probability of p(5)=1/6

Answer Link

Аноним Аноним · Answer 2 · 2019-05-30T09:23:04+02:00

Answer with explanation:

When you roll a dice, once , having number from 1 to 6, probability of obtaining each number

[tex]=\frac{1}{6}=0.17[/tex]

When, you roll a dice 12 times, Probability of obtaining each number

[tex][=\frac{1}{6}]^{12}[/tex]

Here, it is given that,

[tex]P(5)=\frac{2}{3}=0.67[/tex]

So,Experimental Probability ≠ Theoretical Probability

That is,⇒ 0.67≠ 0.17

Here, experimental probability and Theoretical probability are compared,which are not equal to each other.When,Rolling of dice ,that is , number of trials becomes larger and larger that is ,approximately 72 times,then there are chances that, theoretical probability becomes equal to Experimental Probability.