Chapter 1: Probability

Some events are certain, others are not!

Details

Many of the events that occur in our day-to-day life are certain, but some events are such that may or may not take place. For example, getting heads on a coin after tossing it, getting number 3 on a dice, producing a non-defective product in a factory, etc.
It is not possible to predict these events accurately.
The occurrence/non-occurrence of these events depends on the element that we call chance.
'Probability' means to express the possibility of these uncertain events numerically.


Curriculum

  • Lecture 2
    23 m 31 s
  • Lecture 3
    25 m 23 s
  • Lecture 8
    24 m 22 s
  • Lecture 9
    13 m 28 s
  • Lecture 10
    45 m 16 s
  • Probability Quiz
    17 questions
  • Two balanced coins are tossed simultaneously. Write the sample space of this random experiment.
    1 m
  • Two balanced dice are thrown where each dice has numbers 1 to 6 on the six sides. Write the sample space of this experiment.
    1 m 27 s
  • Write the sample space of the random experiment of finding the number of defective items while testing the quality of 1000 items produced in a factory.
    1 m
  • Write the sample space of a random experiment of randomly selecting any one number from the natural numbers.
    1 m
  • For two events A and B in a sample space, A ∩ B = Ø and A ∪ B = U. State the values of P(A ∩ B) and P(A ∪ B).
    1 m
  • If A = {x|0 < x < 1} and B = {x| 1/4 ≤ x ≤ 3} then find A ∩ B.
    1 m
  • For two independent events A and B, P(A) = 0.5 and P(B) = 0.7. Find P (A' ∩ B').
    1 m
  • If P(A) = 0.8 and P(A ∩ B) = 0.25, find P(A - B).
    1 m
  • If P(A) = 0.3 and P(A ∩ B) = 0.03, find P(B/A).
    1 m
  • If P(A) = P(B) = K for two mutually exclusive events A and B, find P(A ∪ B).
    1 m
  • If P(A' ∩ B) = 0.45 and A ∩ B = Ø, find P(B).
    1 m
  • Two events A and B in a sample space are mutually exclusive and exhaustive. If P(A) = 1/3, find P(B).
    1 m
  • 2% items in a lot are defective. What is the probability that an item randomly selected from this lot is non-defective?
    1 m
  • State the number of sample points in the random experiment of tossing five balanced coins.
    1 m
  • Write the sample space of random experiment of randomly selecting three numbers from the first four natural numbers.
    1 m
  • State the number of sample points in the random experiment of tossing one balanced coin and two balanced dice simultaneously.
    1 m
  • Is it possible that P(A) = 0.7 and P(A ∪ B) = 0.45 for two events A and B in a sample space?
    1 m
  • Two cards are selected one by one with replacement from 52 cards. State the number of elements in the sample space of this random experiment.
    1 m
  • For two independent events A and B, P(B/A) = 1/2 and P(A ∩ B) = 1/5. Find P(A).
    1 m
  • 1998 tickets out of 2000 tickets do not have a prize. If a person randomly selects one ticket from 2000 tickets then what is the probability that the ticket selected is eligible for prize?
    1 m
  • Write the sample space for the marks (in integers) scored by a student appearing for an examination of 100 marks and state the number of sample points in it.
    1 m
  • Write the sample space for randomly selecting one minister and one deputy minister from four persons.
    1 m
  • Write the sample space for the experiment of randomly selecting three numbers from the first five natural numbers.
    1 m
  • Chapter 1 Practice Material
    370 KB
  • Statistics Important Theory
    2.9 MB
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  • 1 quiz
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about 1 year ago

good.