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?
- 6
What is the probability of getting a number greater than 6 on dice?
- 7
Which of the following cannot be the value of probability?
- 8
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?
- 9
In a discrete probability distribution, the sum of all probabilities is always?
- 10
How many outcomes are possible when drawing a card from deck of cards?
SECTION – B
Write briefly in 250 words (Short Answer Questions- 20 Marks) Attempt ANY FOUR questions out of the followings. Each question carries 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?
- 4
When rolling a fair six-sided die, what is the probability of obtaining an even number?
- 5
From a deck of 52 cards, what is the probability of drawing an ace or a king?
- 6
In a housing society, half of the families have a single child per family, while the remaining half have two children per family. The probability that a child picked at random, has a sibling is
SECTION – C
Write in 500 Words (Long Answer Questions – 30 Marks) Attempt All questions having internal choices. The question carries 10 marks.
- 1
Answer any ONE of the following
(a)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
OR
(b)(i) In a class of 20 students, 12 are girls. What is the probability of randomly selecting a boy?
(ii) What is the probability of getting an even number when a fair six-sided die is rolled?
- 2
Answer any ONE of the following
(a)(i) In a class of 20 students, 12 are girls. What is the probability of randomly selecting a boy?
(ii) 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?
OR
(b)The probability that person A completes all the tasks assigned is 50% and that of person B is 20%. Find the probability that all the tasks are completed.
- 3
Answer any ONE of the following
(a)(i) Find the number of ways of arranging the letters of the words DANGER, so that no vowel occupies odd place.
(ii) Consider Jack draws 3 cards from a pack of 52 cards. What is the probability of getting no kings?
OR
(b)(i) If the probability that a bomb dropped from a place will strike the target is 70% and if 10 bombs are dropped, find mean and variance.
(ii) Consider Jack draws 3 cards from a pack of 52 cards. What is the probability of getting no kings?