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A fair dice is tossed two times. The probability that the second toss results in a value that is higher than the first toss is

A

$$\frac{2}{{36}}$$

B

$$\frac{2}{6}$$

C

$$\frac{5}{{12}}$$

D

$$\frac{1}{2}$$

Correct Answer: $$\frac{5}{{12}}$$

Simplify the value of $$\frac{{{\text{0}}{\text{.9}} \times {\text{0}}{\text{.9}} \times {\text{0}}{\text{.9 + 0}}{\text{.2}} \times {\text{0}}{\text{.2}} \times {\text{0}}{\text{.2 + 0}}{\text{.3}} \times {\text{0}}{\text{.3}} \times {\text{0}}{\text{.3}} - {\text{3}} \times 0.9 \times {\text{0}}{\text{.2}} \times {\text{0}}{\text{.3}}}}{{{\text{0}}{\text{.9}} \times {\text{0}}{\text{.9 + 0}}{\text{.2}} \times {\text{0}}{\text{.2 + 0}}{\text{.3}} \times {\text{0}}{\text{.3}} - 0.9 \times {\text{0}}{\text{.2}} - {\text{0}}{\text{.2}} \times {\text{0}}{\text{.3}} - 0.3 \times 0.9}} = ?$$

A

1.4

B

0.054

C

0.8

D

1.0

$$\frac{{38 \times 38 \times 38 + 34 \times 34 \times 34 + 28 \times 28 \times 28 - 38 \times 34 \times 84}}{{38 \times 38 + 34 \times 34 + 28 \times 28 - 38 \times 34 - 34 \times 28 - 38 \times 28}}$$ is equal to = ?

A

24

B

32

C

44

D

100

The six faces of a dice have been marked with alphabets A, B, C, D, E and F respectively. This dice is rolled down three times. The three positions are shown as:

A

C

B

D

C

E

D

F

Two positions of a dice with 1 to 6 dots on its sides are shown below. If the dice is resting on the side with three dots, what will be the number of dots on the side at the top?

A

1 or 5

B

2

C

3

D

5

A dice is rolled twice and the two positions are shown in the figures below. What is the number of dots at the bottom face when the dice is in position 1?

A

1

B

5

C

6

D

Cannot be determined

Four positions of a dice are shown below. What number must be at the bottom face when the dice is in the position as shown in fig. 3?

A

1

B

2

C

4

D

6

A dice is thrown four times and its four different positions are shown below. Find the number on the face opposite the face showing 2.

A

3

B

4

C

5

D

6

Two positions of a dice are shown below. When there are two dots at the bottom, the number of dots at the top will be

A

3

B

5

C

6

D

Cannot be determined

A coin is tossed twice if the coin shows head it is tossed again but if it shows a tail then a die is tossed. If 8 possible outcomes are equally likely. Find the probability that the die shows a number greater than 4, if it is known that the first throw of the coin results in a tail

A

1\/3

B

2\/3

C

2\/5

D

4\/15

A coin is tossed twice. What is the probability of getting head on first toss and tail on second toss?

A

1/2

B

1/3

C

1/4

D

1