QUESTIONS BASED ON PROBABILITY

QUES 1:

An urn contains 6 Red, 4 Blue, 2 Green and 3 Yellow marbles.

(a)    If two marbles are picked at random, what is the probability that both are Red?

(i)                  1/7         (ii)          1/3         (iii)          2/15       (iv)         2/5         (v) None of these

(b)   If three marbles are picked at random, what is the probability that two are Blue and one is Yellow ?

(i)                  3/91       (ii)           1/5         (iii)          18/455  (iv)         7/15       (v) None of these

(c)    If four marbles are picked at random, what is the probability that at least one is Blue?

(i)                  4/15       (ii)           69/91     (iii)          11/15     (iv)         22/91     (v) None of these

(d)   If two marbles are picked at random, what is the probability that either both are Green or both are Yellow ?

(i)                  5/91       (ii)           1/35       (iii)          1/3         (iv)         4/105     (v) None of these

(e)   If four marbles are picked at random, what is the probability that one is Green, two are  Blue and one is Red?

(i)                  24/455  (ii)           13/35     (iii)          11/15     (iv)         7/91       (v) None of these

QUES 2:

 A bag contains 3 Red balls, 5 Blue balls and 6 Green balls.

(a)    If three balls are randomly drawn from  the bag, then what is the probability that all are Blue coloured ?

(i)                  3/18       (ii)           5/182     (iii)          25/182 (iv)         1/4        (v)          None of these

(b)   If three balls are randomly drawn from the bag, then what is the probability that 2 are Green and 1 is Red.

(i)                  54/364  (ii)           2 5/182 (iii)          15/364  (iv)         45/364 (v)          None of these

(c)    If two balls are randomly drawn from the bag, then what is the probability that either both are Red or Blue ?

(i)                  13/18     (ii)           2 5/91    (iii)          30/91     (iv)         31/91    (v)          None of these

(d)   If three balls are randomly drawn from the bag, then what is the probability that atmost 2 are Green.

(i)                  5/91       (ii)           86/91     (iii)          2 5/51    (iv)         1/24      (v)          None of these

(e)   If three balls are randomly drawn from the bag, then what is the probability that atleast 1 is Red.

(i)                  199/364(ii)           2 5/364 (iii)          1/12       (iv)         1/364    (v)          None of these

(f)     If three balls are randomly drawn from the bag, then what is the probability that none is Blue.

(i)                  3/13        (ii)           7/18       (iii)          2 5/113 (iv)          1/3        (v)          None of these

(g)    If three balls are randomly drawn from the bag, then what is the probability that one is Blue and other 2 are of other than Blue.

(i)                  3/18       (ii)           2 5/18    (iii)          45/91     (iv)         1/4        (v)          None of these

 ANSWERS:

QUES 1

(a)  (i)

(b)  (iii)        

(c)   (iii)

(d)  (iv)

(e)  (i)

QUES 2

(a)  (ii)

(b)  (iv)

(c)   (iii)

(d)  (ii)

(e)  (i)

(f)   (i)

(g)  (iii)