PROBABILITY

A box contains 2 red, 3 blue and 4 black balls. Three balls are drawn from the box at random.What is the probability that

IA. the three balls are different colours ?

1) 1/7 ` 2) 2/7 3)3/14 4) 5/14 5) None Of those

1B. two balls are of the same colour and the third of different colour ?

1) 55/84 2)41/84 3)59/84 4)27/42 5) None Of those

IC. all the balls are of the same colour?

1) 1/28 2)2/21 3) 3/27 4)5/84 5) None Of those

1D. exactly 2 are black ?

1) 2/7 2) 5/14 3) 3/7 4) 8/14 5) None of these

A bag contains 3 white, 4 green and 5 red balls, 3 balls are drawn randomly. What is the probability that the balls drawn contain

2A. balls of the same colour?

1)1/11 2)3/22 3)3/11 4) 3/44 5) None of these

2B. exactly 2 red balls ?

1) 5/22 2)7/22 3)5/11 4) 7/11 5) None of these

2C. atleast one green ball ?

1)41/55 2) 39/55 3)8/11 4)9/11 5) None of these

2D. the three balls are different colours ?

1) 1/11 2)3/22 3) 3/11 4)5/22 5) None of these

In a bag there are 2 red, 3 black and 5 yellow marbles. What is the probability of getting

3A. different coloured marbles when 3 marbles and drawn randomly?

1) 1/2 2) 1/3 3) 1/4 4)2/5 5) None of these

3B. 2 same coloured and the renumning 2 different coloured marbles when 4 marbles are drawn randomly ?

1)1/3 2)2/5 3) 1/4 4)1/2 5) None of these

3C. same coloured marbles when 2 marbles are drawn randomly?

1) 14/45 2)7/45 3)1/3 4)16/45 5) None of these

3D. atleast 1 black coloured marble when 5 marbles are drawn randomly ?

1)7/11 2)5/6 3)21/22 4)11/12 5) None of these 

In a bag there are 2 blue, 3 black, 4 brown and 5 green marbles.What is the probability of getting

4A. atleast 1 green coloured marble when 2 marbles ore drawn randomly?

1)36/91 2)55/91 3)5/13 4)7/13 5) None or those -

4B. 2 brown and 1 black or 2 green and 1 blue coloured marbles when 3 marbles are dram randomly?

1)17/182 2)19/182 3) 55/91 4)36/91 5) None of these

4C. atmost 2 brown colured marbles when 4 marbles are drawn randomly

1)960/1001 2)950/3003 3)960/1003 4)950/1003 5) None of these

4D. 2 same coloured and the remaining 3 different coloured when 5 marbles are drawn randomly ? 1) 3/10 2)301/1001 3) 300/1001 4)301,1000 5) none of these

5A.In a box of 12 fruits, one - third have become rotten, If three fruits are taken at random, what is the probability that atleast one fruit out of the fruits picked up is not rotten ​?

1) 1/55 2)54/55 3) 1/11 4)10/11 5) None of these

5B. In a box of 12 fruits, one - fourth have become rotten. It two fruits are taken at random .what is the probability that atleast one fruit out of the fruits picked up is not rotten ?

1)1/22 2) 1/44 3)43/44 4)21/22 5) None of these

5C.In a box of 18 fruits, one - third have become rotten, if four fruits are taken at random, what is the probability that atleast one fruit out of the fruits picked up is not rotten ?

1) 1/204 2)1/203 3)203/204 4)202/203 5) None of these

5D. In a box of 24 fruits, three-eighth have become rotten. If six fruits are taken at mndom.what is the probabitily that atleast one fruit out of the fruits picked up is not rotten ?

1)4806/4807 2)4807/4808 3)4804/4805 4)4804/4807 5) None of these

6A. What is the probability of getting all the heads when 3 coins are tossed simultaneously?

1)2/7 2) 3/7 3) 1/8 4) 3/8 5) None of these

6B.What is the probability of getting exactly two heads when 6 coins are tossed simultaneously?

1) 7/32 2) 15/64 3) 5/32 4) 1/4 5) None of these

6C. What is the probability of getting atleast one head when 4 coins are tossed simultaneously?

1) 1/16 2) 1/8 3) 7/8 4) 15/16 5) None of these

6D.What is the probability of getting no head when 8 coins are tossed simultaneously?

1) 1/256 2)255/256 3) 1/128 4) 127/128 5) None of these

7A. What is the probability of having 53 Sundays in a non-leap year?

1) 1/7 2)6/7 3)2/7 4) 5/7 5) None of these

7B.What is the probability of having 53 Sundays in a leap year?

1) 1/7 2)2/7 3) 3/7 4)4/7 5) None of these

7C.What is the probability of having 5 Thursdays in the month of January ?

1) 1/7 2) 2/7 3) 3/7 4)4/7 5) None of these

7D. what is the probability of having 5 Wednesdays in the month of April ?

1)1/7 2) 2/7 3)3/7 4) 4/7 5) None of these

8A. A speaks truth in 80% and B in 90% of the cases. What is the probability to get controversy when both speak about a case ?

1)13/25 2) 18/25 3)37/50 4)13/50 5) None of these

8B. P speaks truth in 75% and Q in 90% of the cases. What is the probability to get controversy when both speak about a case ?

1) 7/10 2) 3/10 3) 7/20 4)3/20 5) None of these

8C. C speaks truth in 60% and D in 75% of the cases. What is the probability to get coincidence when both speak about a case ?

1)9/10 2)9/20 3)11/20 4) 1/10 5) None of these

8D. R speaks truth in 60% and S in 80% of the cases. What is the probability to get coincidence when both speak about a case ?

1)11/25 2)12/25 3)13/25 4) 14/25 5) None of these

9A.What is the probability of getting a number which is multiple of 3 but not multiple of 4 in the first 400 natural numbers?

1) 1/5 2)2/5 3)1/2 4) 1/4 5) None of these

9B. What is the probability of getting a number which is multiple of 4 but not multiple of 5 in the first 200 natural numbers?

1)2/7 2)3/5 3) 1/4 4) 1/3 5) None of these

9C. what is the probability of getting a number which is multiple of 4 but not multiple of 6 in the first 500 natural numbers?

1)4/25 2)7/50 3)21/125 4)23/120 5) None of these

9D.Whitt is the probability of getting a number which is multiple of 9 but not multiple of 15 in the first 750 natural numbers?

1)67/750 2)71/750 3)67/375 4)71/375 5) None of these

6 boys and 3 girls sit in a row. What is the probability that

10A. all the girls sit together ?

1)2/9 2) 3/11 3) 1/12 4) 1/11 5) None of these

10B. no 2 girls sit together ?

1) 7/12 2) 1/4 3)5/12 4) 3/8 5) None of these

10C. all the boys do not sit together ?

1) 1/21 2)20/21 3) 1/20 4) 19/20 5) None of these

10D. the girls occupy both the extreme places and the middle place ?

1) 1/84 2) 1/42 3) 5/84 4) 5/42 5) None of these