1. In a class of ten students, three wear eyeglasses. If two students are selected at random, what is the probability that: a. One wears eyeglasses b. At least one wears eyeglasses c. Neither of the two wears eyeglasses

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1. In a class of ten students, three wear eyeglasses. If two students are selected at random, what is the probability that: a. One wears eyeglasses b. At least one wears eyeglasses c. Neither of the two wears eyeglasses 2. In November 1994, Intel announced that a subtle flaw in its Pentium chip would affect 1 in 9 billion division problems. Suppose a computer perform 20 million divisions in the course of a particular program, what is the probability of no error? 3. A group is composed of 10 students with 6 men and 4 women. a. Determine the number of ways that we can choose committee of 4. b. Determine the number of ways that we can choose committee of 4 composed of 2 men and 2 women. c. Determine the number of ways that we can choose one president, one vice president, one secretary, and one treasurer from the rest. 4. Given the following digits: 2, 3, 5, 6, 7, 9, a. How many 3-digit number combinations can be made out from the given numbers if repetition is not allowed? b. Compute how many 3-digit even number combinations can be made out from the given numbers if repetition is not allowed. c. Compute how many 3-digit number combinations greater than 400 can be made out from the given number if repetition is not allowed. 5. A batch of electronic parts contains 16, which are within a power tolerance and 4, which are not. If 3 electronic parts are selected at random from the batch, compute the probabilities that all three are within the power tolerance.
Direction: Read the problems carefully. Correct answers with NO/WRONG solution shall not be
considered.
1. In a class of ten students, three wear eyeglasses. If two students are selected at random, what is
the probability that:
a. One wears eyeglasses
b. At least one wears eyeglasses
c. Neither of the two wears eyeglasses
2. In November 1994, Intel announced that a subtle flaw in its Pentium chip would affect I in 9
billion division problems. Suppose a computer perform 20 million divisions in the course of a
particular program, what is the probability of no error?
3. A group is composed of 10 students with 6 men and 4 women.
a. Determine the number of ways that we can choose committee of 4.
b. Determine the number of ways that we can choose committee of 4 composed of 2 men and 2
women.
c. Determine the number of ways that we can choose one president, one vice president, one
secretary, and one treasurer from the rest.
4. Given the following digits: 2, 3, 5, 6, 7,9.
a. How many 3-digit number combinations can be made out from the given numbers if
repetition is not allowed?
b. Compute how many 3-digit even number combinations can be made out from the given
numbers if repetition is not allowed.
c. Compute how many 3-digit number combinations greater than 400 can be made out from the
given number if repetition is not allowed.
5. A batch of electronic parts contains 16, which are within a power tolerance and 4, which are not.
If 3 electronic parts are selected at random from the batch, compute the probabilities that all three
are within the power tolerance.
Transcribed Image Text:Direction: Read the problems carefully. Correct answers with NO/WRONG solution shall not be considered. 1. In a class of ten students, three wear eyeglasses. If two students are selected at random, what is the probability that: a. One wears eyeglasses b. At least one wears eyeglasses c. Neither of the two wears eyeglasses 2. In November 1994, Intel announced that a subtle flaw in its Pentium chip would affect I in 9 billion division problems. Suppose a computer perform 20 million divisions in the course of a particular program, what is the probability of no error? 3. A group is composed of 10 students with 6 men and 4 women. a. Determine the number of ways that we can choose committee of 4. b. Determine the number of ways that we can choose committee of 4 composed of 2 men and 2 women. c. Determine the number of ways that we can choose one president, one vice president, one secretary, and one treasurer from the rest. 4. Given the following digits: 2, 3, 5, 6, 7,9. a. How many 3-digit number combinations can be made out from the given numbers if repetition is not allowed? b. Compute how many 3-digit even number combinations can be made out from the given numbers if repetition is not allowed. c. Compute how many 3-digit number combinations greater than 400 can be made out from the given number if repetition is not allowed. 5. A batch of electronic parts contains 16, which are within a power tolerance and 4, which are not. If 3 electronic parts are selected at random from the batch, compute the probabilities that all three are within the power tolerance.
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