Classical Definition of Probability

Q.

A four digit number is formed using the digits 0, 1, 2, 3, 4 without repetition. Find the probability that it is divisible by 4.

1. 1/4

2. 5/16

3. 7/20

4. 3/4

Q.

A bag contains 6 white, 7 red and 5 blue balls. Three balls are drawn at random. Find the probability of the event 'balls drawn are one of each color'.

1. 6/18

2. 35/136

3. 1/4

4. 35/172

Q.

In throwing a pair of dice, find the probability of getting an odd number on the first die and a total of 7 on both the sides.

1. 3/4

2. 1/16

3. 7/36

4. 1/12

Q.

An urn contains 7 red and 4 blue balls. Two balls are drawn at random with replacement. If the probability of getting 2 red balls is P(A), find $121\times P\left(A\right)$.

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Q. The digits 1, 2, 3.... 9 are arranged in a random order, find the probability that 1, 2, 3 will appear as neighbors in the order mentioned.

1. 1/24

2. 1/108

3. 1/36

4. 1/72

Q.

In throwing a pair of dice, find the probability of getting a total of 8.

1. 1/9

2. 7/36

3. 1/4

4. 5/36

Q.

In throwing a fair die find the probability of the event 'a number less than or equal to 4 turns up'

1. 1/2

2. 4/5

3. 2/3

4. 1/3

Q.

Two dice are rolled simultaneously. The probability that the sum of the two numbers on the top faces will be at least 10 is

1. None

2. 1/6

3. 1/12

4. 1/118

Q. Mr. A lives at origin on the Cartesian plane and has his office at (4, 5). His friend lives at (2, 3) on the same plane. Mr. A can go to his office travelling one block at a time either in the +y or +x direction. If all possible paths are equally likely then the probability that Mr. A passed his friends house is (shortest path for any event must be considered)

1. 
2. 
3. 
4. 

Q. A hat contains a number of cards with $30\%$ white on both sides, $50\%$ black on one side and white on the other side, $20\%$ black on both sides. The cards are mixed up, and a single card is drawn at random and placed on the table. Its upper side shows up black. The probability that its other side is also back is

1. 
2. 
3. 
4.