Answer:
a. 59049 ways
b. [tex]1.69\times10^{-5}[/tex]
Step-by-step explanation:
If the multiple choice test has 10 questions with 3 choices each, for the each question there are 3 ways to answer the test. Then for n question there are [tex]3^n[/tex] ways to answer the test
The total number of ways to answer 10 questions at 3 choices each is
[tex]3^{10} = 59049[/tex]ways
b. There are 59049 ways to answer the test but if one test must match one other test then the probability for that to happen is
[tex]\frac{1}{59049} = 1.69\times10^{-5}[/tex]
