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Choose the correct alternative: A matrix is chosen at random from a set of all matrices of order 2, with elements 0 or 1 only. The probability that the determinant of the matrix chosen is non zero - Mathematics

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प्रश्न

Choose the correct alternative:

A matrix is chosen at random from a set of all matrices of order 2, with elements 0 or 1 only. The probability that the determinant of the matrix chosen is non zero will be

पर्याय

  • `3/16`

  • `3/8`

  • `1/4`

  • `5/8`

MCQ

उत्तर

`3/8`

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Probability
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 12: Introduction to probability theory - Exercise 12.5 [पृष्ठ २६६]

APPEARS IN

सामाचीर कलवी Mathematics - Volume 1 and 2 [English] Class 11 TN Board
पाठ 12 Introduction to probability theory
Exercise 12.5 | Q 9 | पृष्ठ २६६

संबंधित प्रश्‍न

Suppose one person is selected at random from a group of 100 persons are given in the following

Title Psychologist Socialist Democrat Total
Men 15 25 10 50
Women 20 15 15 50
Total 35 40 25 100

What is the probability that the man selected is a Psychologist?


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Three horses A, B, C are in the race. A is twice as likely to win as B and B is twice as likely to win as C. What are their respective probabilities of winning?


A die is thrown. Find the probability of getting

  1. a prime number
  2. a number greater than or equal to 3

Ten cards numbered 1 to 10 are placed in a box, mixed up thoroughly and then one card is drawn randomly. If it is known that the number on the drawn card is more than 4. What is the probability that it is an even number?


From a pack of 52 cards, two cards are drawn at random. Find the probability that one is a king and the other is a queen.


A company has three machines A, B, C which produces 20%, 30% and 50% of the product respectively. Their respective defective percentages are 7, 3 and 5. From these products, one is chosen and inspected. If it is defective what is the probability that it has been made by machine C?


The events A and B are independent if


The probability of obtaining an even prime number on each die, when a pair of dice is rolled is


Probability of an impossible event is _________.


An experiment has the four possible mutually exclusive and exhaustive outcomes A, B, C, and D. Check whether the following assignments of probability are permissible.

P(A) = 0.15, P(B) = 0.30, P(C) = 0.43, P(D)= 0.12


An experiment has the four possible mutually exclusive and exhaustive outcomes A, B, C, and D. Check whether the following assignments of probability are permissible.

P(A) = `2/5`, P(B) = `3/5`, P(C) = `- 1/5`, P(D) = `1/5`


Eight coins are tossed once, find the probability of getting exactly two tails


Eight coins are tossed once, find the probability of getting atmost two tails


A bag contains 7 red and 4 black balls, 3 balls are drawn at random. Find the probability that all are red


A bag contains 7 red and 4 black balls, 3 balls are drawn at random. Find the probability that one red and 2 black


A single card is drawn from a pack of 52 cards. What is the probability that the card will be 6 or smaller


Suppose P(B) = `2/5`. Express the odds event B occurs


Choose the correct alternative:

Four persons are selected at random from a group of 3 men, 2 women and 4 children. The probability that exactly two of them are children is


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