CIVIL SERVICE PRACTICE TEST PAPER.CSAT SECOND PAPER. TEST 3.

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Probability based 



1.There are 3 different letters and 6 corresponding addressed envelopes . If the letters are randomly. If the letters are randomly put in the envelops , then what is the probability that exactly 5 letters go in to the correctly addressed envelopes?

a.0      b.1/6       c.1/2     d.5/6


2.  A Complete cycle of a traffic lights take 60s . During each cycle , the light is green for 25s , yellow for 5 s each red for 30 s .At a randomly chosen time , the probability that the light will not be green , is ?


a)1/2       b1/3      c) 5/12                  d 7/12


3. The identical particles are moving randomly inside a closed box .What is the probability that at any given point of all the given point time of all the 10 particles .will be living in the same half of the box?



4. When three coins are tossed together , the probability that all coins have the same face up,is?

a) 1/8                  b) 1/7                  c) 1/ 6                d) 3/8  




5) If cards are drawn at random from a pack of 200 cards numbered 1 to 200 . Then find the probability of drawing a number which is a perfect cube?

a) 1/40                      b)3/40           c)7/40                        d)19/40


6). Find the probability of head when single coin is tossed. 

a)1/2                         b)1/4                   c )1/3               d)1/6


7) What is the probability of getting at least 6 heads , if eight coins are tossed simultaneously ?
 a) 37/256                    b) 25/57                   c) 1/13                 d) non of these  


8.what is the probability that a non leap year contains 52 Tuesday ?

a) 1/7                b) 2/7              c 3/7             d 6/7

9) A and B aim a target. The probability that A hits the target  is 5/7 and B hits the target is 7/10 . What is the 
probability that exactly one of them his the target ?
a) 21/10                b) 29/70                         c) 31/70                 d) 33/70

10) Two unbiased dice are thrown simultaneously . The probability of getting the divisible by s , is ?

a) 11/36                            b) 1/3                c) 13/36                    d) 17/36

   


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