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Which of the following experiments have equally likely outcomes? Explain: A player attempts to shoot a basketball. She/he shoots or misses the shot.

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In the following experiment have equally likely outcomes?Explain. A trial is made to answer a true-false question. The answer is right or wrong.

An experiment has 10 equally likely outcomes. Let A and B be two non-empty events of the experiment. If A consists of 4 outcomes, the number of outcomes that B must have so that A and B are independent, is

A coin is tossed thrice and all eight outcomes are assumed equally likely. In which of the following cases are the events A and B independent? A: "the first throw results in head" B:"the last throw results in tail"

Some of the English alphabets have fascinating symmetrical structures. Which capital letters have just one line of symmetry (Like E) ? Which capital letters have a rotational symmetry of order 2 (Like I) ? By attempting to think on such lines, you will be able to fill in the following table.

A coin is tossed thrice and all eight outcomes are assumed equally likely. In which of the following cases are the events A and B independent? A: " the number of heads is two" B:"the last throw results in head"

Juhi wants to buy a bicycle. She goes to the market and finds that the bicycle she likes is available for ₹1800. Juhi has ₹ 600 with her. So, she tells the shopkeeper that she would not be able to buy it. The shopkeeper, after a bit of calculation, makes the following offer. He tells Juhi that she could take the bicycle by making a payment of ₹600 cash down and the remaining money could be made in two monthly instalments of ₹610 each. Juhi has two options one is to go for instalment scheme or to make cash payment by taking loan from a bank which is available at the rale of 10% per annum simple interest. Which option is more economical to her?

A coin is tossed thrice and all the eight outcomes are assumed to be equally likely. In which of the following cases are the events E_1 and E_2 independent? E_1 : 'the number of heads is odd E_2 : 'the number of tail is odd'.

If hydrogen atoms (in the ground state ) are passed through an homogeneous magnetic field, the beam is split into two parts. This interaction with the magnetic field shows that the atoms must have magnetic moment. However, the moment cannot be due to the orbital angular momentum since l=0. Hence one must assume existence of intrinsic angular momentum, which as the experiment shows, has only two permitted orientations. Spin of the electron produce angular momentum equal to S=sqrt(s(s+1))(h)/(2pi) where S=+(1)/(2) . Total spin of an atom = +(n)/(2) " or "-(n)/(2) where n is the number of unpaired electrons. The substance which contain species with unpaired electrons in their orbitals behave as paramagnetic substances. The paramagnetism is expressed in terms of magnetic moment. The magnetic moment of an atom mu_(s)sqrt(s(s+1))(eh)/(2pimc)=sqrt((n)/(2)((n)/(2)+1))(eh)/(2pimc)" "s=(n)/(2) impliesmu_(s)=sqrt(n(n+1)) B.M. 1. B.M. (Bohr magneton)= (eh)/(4pimc) If magnetic moment is zero the substance is diamagnetic. Which of the following ion has lowest magnetic moment?

MBD-Probability-Exercise
  1. Which of the following experiments have equally likely outcomes? Expla...

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  2. If a die is thrown, what is the probability that an 'ace' turns up ?

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  3. Find the probability of not getting a pair of heads in a simultaneous ...

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  4. In a single throw of two dice, what is the probability of getting same...

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  5. Three coins are tossed. Find the probability of getting : all heads

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  6. Three coins are tossed. Find the probability of getting : all tails

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  7. Three coins are tossed. Find the probability of getting : at least one...

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  8. Find the probability of getting a number less than 5 in a single throw...

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  9. A bag contains 3 red balls. 5 black balls and 4 white balls. A ball is...

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  10. A bag contains 3 red balls. 5 black balls and 4 white balls. A ball is...

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  11. A bag contains 3 red balls. 5 black balls and 4 white balls. A ball is...

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  12. It is known that a box of 600 electric bulbs contains 12 defective bul...

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  13. 1000 tickets of a lottery were sold and there are 5 prizes on these ti...

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  14. A die is thrown once. Find the probability of getting : an even number

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  15. A die is thrown once. Find the probability of getting : a number great...

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  16. A die is thrown once. Find the probability of getting : a number betwe...

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  17. A bag contains 5 red balls and some blue balls. If the probability of ...

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  18. A bag contains 5 red balls, 8 white balls 4 green balls and 7 black ba...

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  19. A bag contains 5 red balls, 8 white balls 4 green balls and 7 black ba...

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  20. A bag contains 5 red balls, 8 white balls 4 green balls and 7 black ba...

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  21. In a lottery there are 10 prizes and 25 blanks. Find the probability o...

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