Q1. 
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.  neither gain nor a loss 

D.  a gain or a loss depending upon the order in which the wins and losses occur 
Q2. 
A bag contains 3 white balls and 2 black balls. Another bag contains 2 white and 4 black balls. A bag and a ball are picked random. The probability that the ball will be white is: 
A.  7/11 

B.  7/30 

C.  5/11 

D.  7/15 
Q3. 
The probability that a student is not a swimmer is 1/5. Then the probability that one of the five students, four are swimmers is: 
A.  \(^5C_4\left(\dfrac{4}{5}\right)^2\left(\dfrac{1}{5}\right)\) 

B.  \(\left(\dfrac{4}{5}\right)^2\left(\dfrac{1}{5}\right)\) 

C.  \(^5C_4\left(\dfrac{1}{5}\right)\left(\dfrac{4}{5}\right)^4\) 

D.  None of these 
Q4. 
A man bets on number 16 on a roulette wheel 14 times and losses each time. On the $15^{th}$ span he does a quick calculation and finds out that the number 12 had appeared twice in the 14 spans and is therefore, unable to decide whether to bet on 16 or 12 in the $15^{th}$ span. Which will give him the best chance and what are the odds of winning on the bet that he takes? (Roulette has numbers 1 to 36). 
A.  $16;22:14$ 

B.  $12; 72 : 1$ 

C.  $12; 7 : 1$ 

D.  Either $; 35 : 1$ 
Q5. 
I forgot the last digit of a 7digit telephone number. If 1 randomly dial the final 3 digits after correctly dialling the first four, then what is the chance of dialling the correct number? 
A.  1/1001 

B.  1/1000 

C.  1/999 

D.  1/990 