A number cube is rolled 20 times and lands on 1 two times and on 5 four times. Find each experimental probability. Then compare the experime

hi Dakotah :)

 

A number cube is rolled 20 times and lands on 1 two times and on 5 four times. Find each experimental probability. Then compare the experimental probability to the theoretical probability.

 

Mmm

The experimental prob that it will land on a 1 is  was  $${\frac{{\mathtt{2}}}{{\mathtt{20}}}}$$ =  $${\frac{{\mathtt{1}}}{{\mathtt{10}}}}$$

 

The theoretical prob that it will land on a 1 is  $${\frac{{\mathtt{1}}}{{\mathtt{6}}}}$$    So in 20 rolls you would expect to get  $$\frac{20}{6}=\frac{10}{3}=3\frac{1}{3}$$ 

 twos

 

The experimental prob was lower than the theoretical prob.  :)

 

 

The experimental prob that it will land on a 5 is  was  $${\frac{{\mathtt{4}}}{{\mathtt{20}}}}$$ =  $${\frac{{\mathtt{1}}}{{\mathtt{5}}}}$$

 

The theoretical prob that it will land on a 5 is  $${\frac{{\mathtt{1}}}{{\mathtt{6}}}}$$    So in 20 rolls you would expect to get  $$\frac{20}{6}=\frac{10}{3}=3\frac{1}{3}$$  

 

 The experimental prob was higher than the theoretical prob.  :