Maria Goeppert was a German-born physicist. She received the Nobel Prize in Physics in 1963 for the discovery of nuclear orbital structure.

She graduated in 1930 using in her thesis the calculus of probabilities to analyse the orbit of the electron.

We are going to study the random experiment that consists of rolling a die and writing down the value obtained on the upper face.

a)    Do you think that some value has more chances to come out than the others or do they all have the same?

b)    Check if what you have thought is correct by rolling a die 100 times. Record the results obtained and complete the following table.

Possible results Count Absolute frequency  Relative frequency
1      
2      
3      
4      
5      
6      

c)    Having performed the experiment, which outcome do you now think is most likely to occur?

d)    We are going to share the results obtained by the whole class, filling in the following table:

Nº 100 200 300 400 500 600 700
af rf af rf af rf af rf af rf af rf af rf
1                            
2                            
3                            
4                            
5                            
6                            

e)    What value do the relative frequencies (rf) of each of the outcomes approach as the number of trials of the randomized experiment increases?

f)      What could we say is, approximately, the probability of each of the events in this random experiment?