ACET (Actuarial Common Entrance Test) Statistics: Questions 93  98 of 201
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Question number: 93
» Probabilities » Conditional Probabilities
Question
A bag contains 16 coins of which two are counterfeit with heads on both sides. The rest are fair coins. One is selected at random from the bag and tossed. The probability of getting a head is
Choices
Choice (4)  Response  

a. 
 
b. 
 
c. 
 
d.  None of the above 
Question number: 94
Question
How many words with or without meaning can be each of 2 vowels and 3 consonants can be formed from the letters of the word DAUGHTER?
Choices
Choice (4)  Response  

a. 
 
b.  3600  
c. 
 
d. 

Question number: 95
» Probabilities » Conditional Probabilities
Question
A bag contains n + 1 coins. If it is known that one of these coins shows heads on both sides, whereas others are fair. One coin is selected at random and tossed. If the probability that toss results in heads is 7/12, then find the value of n.
Choices
Choice (4)  Response  

a.  10  
b.  6  
c.  5  
d.  4 
Question number: 96
» Discrete Random Variables » Mean, Mode, Median
Question
There are 5 white and 3 black balls in a box. 3 balls are taken at random from the box. Find the expected number of black balls.
Choices
Choice (4)  Response  

a. 
 
b. 
 
c. 
 
d.  None of the above 
Question number: 97
» Probabilities » Basic Rules of Probabilities
Question
A die is thrown thrice. Find the probability of getting an odd number atleast once.
Choices
Choice (4)  Response  

a. 
 
b. 
 
c. 
 
d. 

Question number: 98
» Continuous Distributions » The Normal Distribution
Question
If then variance of
Choices
Choice (4)  Response  

a.  6  
b.  9  
c.  10  
d.  1 