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Choose the correct alternative: If m is a number such that m ≤ 5, then the probability that quadratic equation 2x2 + 2mx + m + 1 = 0 has real roots is - Mathematics

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प्रश्न

Choose the correct alternative:

If m is a number such that m ≤ 5, then the probability that quadratic equation 2x2 + 2mx + m + 1 = 0 has real roots is

पर्याय

  • `1/5`

  • `2/5`

  • `3/5`

  • `4/5`

MCQ

उत्तर

`3/5`

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Probability
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 12: Introduction to probability theory - Exercise 12.5 [पृष्ठ २६७]

APPEARS IN

सामाचीर कलवी Mathematics - Volume 1 and 2 [English] Class 11 TN Board
पाठ 12 Introduction to probability theory
Exercise 12.5 | Q 25 | पृष्ठ २६७

संबंधित प्रश्‍न

A die is thrown twice and the sum of the number appearing is observed to be 6. What is the conditional probability that the number 4 has appeared at least once?


Probability of solving specific problem independently by A and B are `1/2` and `1/3` respectively. If both try to solve the problem independently, find the probability that the problem is

  1. solved
  2. exactly one of them solves the problem

Three boxes B1, B2, B3 contain lamp bulbs some of which are defective. The defective proportions in box B1, box B2 and box B3 are respectively `1/2`, `1/8` and `3/4`. A box is selected at random and a bulb drawn from it. If the selected bulb is found to be defective, what is the probability that box B1 was selected?


A die is thrown. Find the probability of getting

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

There are 1000 students in a school out of which 450 are girls. It is known that out of 450, 20% of the girls studying in class XI. A student is randomly selected from 1000 students. What is the probability that the selected student is from class XI given that the selected student is a girl?


A card is drawn from a pack of playing cards and then another card is drawn without the first being replaced. What is the probability of drawing

  1. two aces
  2. two spades

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 two events A and B are mutually exclusive if


If the outcome of one event does not influence another event then the two events are


Probability that at least one of the events A, B occur 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


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


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 is an ace or a king


A cricket club has 16 members, of whom only 5 can bowl. What is the probability that in a team of 11 members at least 3 bowlers are selected?


The odds that the event A occurs is 5 to 7, find P(A)


Choose the correct alternative:

There are three events A, B and C of which one and only one can happen. If the odds are 7 to 4 against A and 5 to 3 against B, then odds against C is


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