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Using the Fundamental Counting Theorem and the probability concept, it is found that:
- There are
ways to answer all 17 questions.
probability you will get them all right.
- It is a theorem that states that if there are n things, each with
ways to be done, each thing independent of the other, the number of ways they can be done is:
- A probability is given by the number of desired outcomes divided by the number of total outcomes.
In this problem:
- The questions in part A and in part B are independent.
- For the 12 questions in part A, there are
ways to answer, hence
.
- For the 5 questions in part B, there are
ways to answer, hence
.
Then:
There are ways to answer all 17 questions.
Only one outcome in which all the guesses are correct, hence:
probability you will get them all right.
You can learn more about the Fundamental Counting Theorem at brainly.com/question/24314866