SOLUTION:
Case: Probability
As more trials are conducted, the experimental probability generally gets closer to the theoretical probability.
Method:
a) Experimental probability of getting an odd number
The possibilities are: 1, 3, 5, 7, and 9.
[tex]\begin{gathered} Pr(odd) \\ =\frac{n(odd)}{n(total)} \\ =\frac{3+0+4+1+3}{20} \\ =\frac{11}{20} \end{gathered}[/tex]
b) If the machine was fair, the theoretical probability for 2 trials is:
[tex]Pr(odd)=\frac{1}{2}[/tex]
c) With a small number of trials, it is surprising when the experimental probability is much greater than the theoretical probability
Final answers: (Nearest thousandths)
a) 0.550
b) 0.500
c) With a small number of trials, it is surprising when the experimental probability is much greater than the theoretical probability
