Self Studies

Probability Tes...

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  • Question 1
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    A coin is tossed $$40$$ times and it showed tail $$24$$ times.The probability of getting a head was:

  • Question 2
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    Directions For Questions

    In a multiple choice test of three questions there are five alternative answers given to the first two questions each and four alternative answers given to the last question. If a candidate guesses answers at random, what is the probability that he will get-

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    Exactly one right?

  • Question 3
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    One ticket is selected at random from $$100$$ tickets numbered $$00,01,02,...,99$$. Suppose $$X$$ and $$Y$$ are the sum and product of the digits found on the tickets $$P(X=7;Y=0)$$ is given by

  • Question 4
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    In a class of 125 students, 70 passed in English, 55 in mathematics and 30 in both. Find the probability that a student selected at random from the class has passed in at least one subject.

  • Question 5
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    If E & F are events with $$P ( E) \leq P (F)$$ & $$P(E \cap F ) > 0$$, then

  • Question 6
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    Three numbers are chosen at random without replacement from $${1, 2, 3,....., 10}$$. The probability that the minimum of the chosen numbers is $$3$$ or their maximum is $$7$$ is

  • Question 7
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    In a horse race there are 18 horses numbered from 1 to 18. The probability that horse 1 would win is $$\displaystyle \frac {1}{6}$$, horse 2 is $$\displaystyle \frac {1}{10}$$ and 3 is $$\displaystyle \frac {1}{8}$$. Assuming a tie is impossible, the chance that one of the three horses wins the race, is

  • Question 8
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    Three unbiased coins are tossed, what is probability of getting exactly two heads ?

  • Question 9
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    All the three face cards of spades are removed from a well-shuffled pack of 52 cards. A card is then drawn at random from the remaining pack. Find the probability of getting black face card

  • Question 10
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    Directions For Questions

    A uniform unbiased die is constructed in the shape of a regular tetrahedron with faces numbered $$2, 2, 3$$ and $$4$$ and the score is taken from the face on which the die lands. If two such dice are thrown together, find the probability of scoring.

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    Exactly 6 on each of 3 successive throws

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