1.  An unbiased die is tossed. Find the probability of getting a multiple of 2?


2
3
1/2
1/3


Answer

 Option

2,4,6 multiple of 3 n(E) = 3 n(S) = 6 P = 3/6 = 1/2

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2.  A bag contains 6 white, 4 red and marbles. Three marbles are drawn at random. What is the probability that one marble is red and the other two are white?


1/2
1/12
3/10
7/12


Answer

 Option

Let S be the sample space. Then, n(S) = number of ways of drawing 3 marbles out of 10 = 10c3 = (10*9*8)/(3*2*1) =120 Let E = event of drawing 1 red and 2 white marbles Therefore n(E) = number of ways of drawing 1 red marble out of 4 and 2 white marbles out of 6 =(4c1*6c2) = (4*6*5/2*1) = 60 Therefore P(E) = n(E)/n(S) = 60/120 = 1/2

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3.  Four different objects 1,2,3 are distributed at random in 4 places. What is the probability that none of the objects occupies the place corresponding to its number?


1/6
1/3
1/2
1


Answer

 Option

PLACE : 1 2 3 4 Random : 2134, 2143, 2314, 2341, 2413, 2431 None of the objects occupies the place of that number = 2143, 2341, 2413 n(S) = 6, n(E) = 3 P = 3/6 = 1/2

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4.  An unbiased die is tossed. Find the probability of getting of getting a multiple of 2?


2
3
1/2
1/3


Answer

 Option

2,4,6 multiple of 3 n(E) = 3 n(S) = 6 P = 3/6 = 1/2

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5.  An unbiased die is tossed. Find the probability of getting a multiple of 3?


1/3
1/5
1/6
1/8


Answer

 Option

Here S = {1,2,3,4,5,6} Let E be the event of getting a multiple of 3. Then, E = {3,6} Therefore P(E) = n(E)/n(S) = 2/6 = 1/3

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