Mathematics-II (Probability and Statistics)
Mahatma Gandhi Central University, Bihar
B.Tech Computer Science & Engineering
Semester 2 Examination, 2024
Mathematics-II (Probability and Statistics) (CSET3108)
Assessment Questions
Mathematics-II (Probability and Statistics) (CSET3108) - 2024
SECTION – A
MULTIPLE CHOICE QUESTIONS-10 Marks Attempt all questions. Each question carries onemark.
- 1
What is the probability of an impossible event?
- 2
What does probability mean?
- 3
What’s the probability of drawing a red card or a card with a face (king, queen, or jack) from a standard deck of 52 cards?
- 4
When rolling a fair six-sided die, what is the probability of obtaining an even number?
- 5
What is the probability of a sure event?
SECTION – B
Write briefly in 250 words (Short Answer Questions- 5 Marks) Attempt ANY TWO questions out of the followings. Each question carries 2.5 Marks.
- 1
There are two containers, with one containing 4 Red and 3 Green balls and the other containing 3 Blue and 4 Green balls. One ball is drawn at random from each container. The probability that one of the balls is Red and the other is Blue will be
- 2
Company A produces 10% defective products, Company B produces 20% defective products and C produces 5% defective products. If choosing a company is an equally likely event, then find the probability that the product chosen is defective.
- 3
A problem in mathematics is given to three students A, B and C. If the probability of A solving the problem is 1/2 and B not solving it is 1/4. The whole probability of the problem being solved is 63/64 then what is the probability of solving it?
SECTION – C
Write in 500 Words (Long Answer Questions – 10 Marks) Attempt two questions having internal choices. The question carries 5 marks.
- 1
The probability that a student knows the correct answer to a multiple choice question is 2/3. If the student does not know the answer, then the student guesses the answer. The probability of the guessed answer being correct is 1/4. Given that the student has answered the question correctly, the conditional probability that the student known the correct answer is
- 2
(a) In a class of 20 students, 12 are girls. What is the probability of randomly selecting a boy?
(b) A jar contains ‘y’ black colored balls and ‘x’ yellow colored balls. Two balls are pulled from the jar without replacing. What is the probability that the first ball is black and second one is yellow?
- 3
(a) Find the number of ways of arranging the letters of the words DANGER, so that no vowel occupies odd place.
(b) Consider Jack draws 3 cards from a pack of 52 cards. What is the probability of getting no kings?