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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
$$\frac{3}{4}$$
Correct Answer:
$$\frac{2}{3}$$
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
$$\frac{6}{{11}}$$
In a race where 12 cars are running, the chance that car X will win is $$\frac{1}{6},$$ that Y will win is $$\frac{{1}}{{10}}$$ and that Z will win is $$\frac{{1}}{{8}}$$. Assuming that a dead heat is impossible. Find the chance that one of them will win.
A
$$\frac{{47}}{{120}}$$
B
$$\frac{{1}}{{480}}$$
C
$$\frac{{1}}{{160}}$$
D
$$\frac{{1}}{{240}}$$
A person starting with 64 rupees and making 6 bets, wins three times and loses three times, the wins and loses occurring in random order. The chance for a win is equal to the chance for a loss. If each wager is for half the money remaining at the time of the bet, then the final result is:
A
A gain of Rs. 27
B
A loss of Rs. 37
C
A loss of Rs. 27
D
A gain of Rs. 37
Average of the runs of 133 players of a team is 38. If the average of the runs of the male players is 43 and the average of the runs of the female players is 24, then what will be the ratio of the total runs of male players and the total runs of female players respectively?
A
301 : 60 \
B
7 : 3 \
C
39 : 11 \
D
60 : 207
Two rugby players start running from the same place on the pitch. Player A runs 20 m South, then turns to his left and runs 26 m. In the mean while Player B runs 12 m West, then he runs 6 m South, the he turns to his left and runs 38 m. Where is Player A with respect to Player B?
A
26 m South
B
14 m South
C
14 m North
D
26 m North
Question : In a cricket team, the average age of eleven players in 28 years. What is the age of the captain? Statements : a. The captain is eleven years older than the youngest player. b. The average age of 10 players, other than the captain is 27.3 years. c. Leaving aside the captain and the youngest player, the average ages of three groups of three players each are 25 years, 28 years and 30 years respectively.
A
All a,b and c follows
B
Only a and c follows
C
Either b alone or a & b follows
D
None
A fair coin is thrown in the air four times. If the coin lands with the head up on the first three tosses, what is the probability that the coin will land with the head up on the fourth toss ?
A
3/4
B
1/2
C
1/8
D
1/16
A fair (unbiased) coin was tossed four times in succession and resulted in the following outcomes: i. Head, ii. Head, iii. Head, iv. Head. The probability of obtaining a 'Tail' when the coin is tossed again is
A
0
B
$$\frac{1}{2}$$
C
$$\frac{4}{5}$$
D
$$\frac{1}{5}$$
The average age of 11 players of a cricket team decreases by 2 months when two new players are included in the team replacing two players of age 17 years and 20 years. The average age of new players is :
A
17 years 1 month
B
17 years 7 month
C
17 years 11 month
D
18 years 3 month
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