Question

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

Answer 1

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 2

Answer with explanation:

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

`=(1)/(6)=0.17`

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

`[=(1)/(6)]^(12)`

Here, it is given that,

`P(5)=(2)/(3)=0.67`

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.