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Assignment: Complementary Events Investigation
Mrs. Hudson plans to give a 10 question multiple choice exam in which each question has 4 options. Each question counts for 1 point. A score of 8 or more is a passing score while 7 or less is a failing score.
The probabilities of guessing a certain number of questions correctly are listed in the table below.
|
Number of Questions Correct |
Probability for Guessing Correctly |
|
0 |
0.05631351 |
|
1 |
0.18771172 |
|
2 |
0.28156757 |
|
3 |
0.25028229 |
|
4 |
0.14599800 |
|
5 |
0.05839920 |
|
6 |
0.01622200 |
|
7 |
0.00308990 |
|
8 |
0.00038624 |
|
9 |
0.00002861 |
|
10 |
0.00000095 |
I. Compute the probability of answering 8 or more questions correctly by calculating the probability with a direct sum and by using complements.
II. How do the two approaches compare?
If Tyler wants to pass his exam, should he study?
