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free Online Test Probability Questions and Answers Quiz 1

Description: Free Online Test questions and answers on Probability with explanation for various competitive exams,entrance test. Solved examples with detailed answer test 1

Exercise

"I never see what has been done; I only see what remains to be done."
- Marie Curie
1 . Directions (1 - 5): Study the given information carefully to answer the questions that follow.

An urn contains4 green, 5 blue 2 red and 3 yellow marbles.

$Q.$ If two marbles are drawn at random, what is the probability that both are red or at least one is red ?
A.  $26\over93$ B.    $2\over7$
C.  $199\over366$ D.    None of these
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2 . If three marbles are drawn at random, what is the probability that at least one is yellow?
A.  $1\over 5$ B.    $199\over 364$
C.  $135\over 324$ D.    $5\over 9$
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3 . If eight marbles are drawn at random, what is the probability that there are equal number of marbles of each colour?
A.  $3\over 8$ B.    $351\over 738$
C.  $60\over 1001$ D.    $1\over 1011$
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4 . If three marbles are drawn at random, what is the probability that none is green ?
A.  $3\over 8$ B.    $273\over 748$
C.  $30\over 91$ D.    None of these
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5 . A bag contains 13 white and 7 black balls. Two balls are drawn at random. What is the propability that they are of the same of the colour?
A.  $41\over 190$ B.    $21\over 190$
C.  $59\over 190$ D.    $99\over 190$
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6 . From a well - shuffled pack of 52 playing cards. one card is drawn at random. What is the probabilty that the card drawn will be a black king ?
A.  $1\over 26$ B.    $7\over 13$
C.  $3\over 13$ D.    $9\over 13$
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7 . Directions (7-10): Study the given information carefully and answer the questions that follow :

An urn contains 3 red, 6 blue, 2 green & 4 yellow marbales .

$Q.$ If two marbles are picked at random, what is the probability that one is green, two are blue and one is red?
A.  $4\over 15$ B.    $17\over 280$
C.  $6\over 91$ D.    $11\over 15$
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8 . If two marbles are picked at random, what is the probability that eigher both are red or both are green ?
A.  $3\over 5$ B.    $4\over 105$
C.  $2\over 7$ D.    None of these
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9 . If four marbles are picked at random, what is the probability that at least one is yellow ?
A.  $91\over 123$ B.    $69\over 91$
C.  $125\over 143$ D.    $1\over4$
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10 . If three marbles are picked at random, what is the probability that two are blue and one is yellow ?
A.  $2\over 15$ B.    $6\over 91$
C.  $12\over 91$ D.    $3\over 15$
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