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Two players, A and B, alternately keep rolling a fair dice. The person to get a six first wins the game. Given that player A starts the game, the probability that A wins the game is
A
$$\frac{5}{{11}}$$
B
$$\frac{1}{2}$$
C
$$\frac{7}{{13}}$$
D
$$\frac{6}{{11}}$$
Correct Answer:
$$\frac{6}{{11}}$$
In a game, two players X and Y are tossing a coin alternately. Whoever gets a 'head' first, wins the game and the game is terminated. Find the chance that player X will win the game if he starts?
A
$$\frac{1}{3}$$
B
$$\frac{1}{2}$$
C
$$\frac{2}{3}$$
D
$$\frac{3}{4}$$
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
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
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
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
Each of the six faces of a cube is numbered by one of the six digits from 1 to 6. This cube is shown in its four different positions in the figures 1, 2, 3 and 4.
Consider the following statements:
I. Figures 2 and 3 are sufficient to know as to which face is opposite to the face numbered 6.
II. Figures 2 and 3 are sufficient to know as to which face is opposite to the face numbered 4.
III. Figures 1 and 4 are sufficient to know as to which face is opposite to the face numbered 3.
Which of the statements given above are correct?
A
I and III only
B
I and II only
C
II and III only
D
I, II and III
Observe the dots on a dice (one to six dots) in the following figures. How many dots are contained on the face opposite to that containing four dots?
A
2
B
3
C
6
D
Cannot be determined
What number is opposite 3 in the figure shown below? The given two positions are of the same dice whose each surface bears a number among 1, 2, 3, 4, 5 and 6.
A
2
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
What will be the number at the bottom, if 5 is at the top; the two positions of the dice being as given below:
A
1
B
2
C
3
D
6
