Probability Questions Answers

• 1. In a throw of coin what is the probability of getting head.

  1. 1
  2. 2
  3. 1/2
  4. 0

  Answer And Explanation

  Answer: Option C

  Explanation:

  Total cases = [H,T] - 2
  Favourable cases = [H] -1
  So probability of getting head = 1/2

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• 2. In a throw of coin what is the probability of getting tails.

  1. 1
  2. 2
  3. 1/2
  4. 0

  Answer And Explanation

  Answer: Option C

  Explanation:

  Total cases = [H,T] - 2
  Favourable cases = [T] -1
  So probability of getting tails = 1/2

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• 3. Two unbiased coins are tossed. What is probability of getting at most one tail ?

  1. \begin{aligned} \frac{1}{2} \end{aligned}
  2. \begin{aligned} \frac{1}{3} \end{aligned}
  3. \begin{aligned} \frac{3}{2} \end{aligned}
  4. \begin{aligned} \frac{3}{4} \end{aligned}

  Answer And Explanation

  Answer: Option D

  Explanation:

  Total 4 cases = [HH, TT, TH, HT]
  Favourable cases = [HH, TH, HT]
  Please note we need atmost one tail, not atleast one tail.
  
  So probability = 3/4

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• 4. Three unbiased coins are tossed, what is the probability of getting at least 2 tails ?

  1. 1/3
  2. 1/6
  3. 1/2
  4. 1/8

  Answer And Explanation

  Answer: Option C

  Explanation:

  Total cases are = 2*2*2 = 8, which are as follows
  [TTT, HHH, TTH, THT, HTT, THH, HTH, HHT]
  
  Favoured cases are = [TTH, THT, HTT, TTT] = 4
  
  So required probability = 4/8 = 1/2

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• 5. In a throw of dice what is the probability of getting number greater than 5

  1. 1/2
  2. 1/3
  3. 1/5
  4. 1/6

  Answer And Explanation

  Answer: Option D

  Explanation:

  Number greater than 5 is 6, so only 1 number
  Total cases of dice = [1,2,3,4,5,6]
  
  So probability = 1/6

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• 6. What is the probability of getting a sum 9 from two throws of dice.

  1. 1/3
  2. 1/9
  3. 1/12
  4. 2/9

  Answer And Explanation

  Answer: Option B

  Explanation:

  Total number of cases = 6*6 = 36
  
  Favoured cases = [(3,6), (4,5), (6,3), (5,4)] = 4
  
  So probability = 4/36 = 1/9

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• 7. Two dice are thrown simultaneously. What is the probability of getting two numbers whose product is even ?

  1. 3/4
  2. 1/4
  3. 7/4
  4. 1/2

  Answer And Explanation

  Answer: Option A

  Explanation:

  Total number of cases = 6*6 = 36
  
  Favourable cases = [(1,2),(1,4),(1,6),(2,1),(2,2),(2,3),(2,4),(2,5),(2,6),(3,2),(3,4),(3,6),(4,1),(4,2),(4,3),(4,4),(4,5),(4,6),(5,2),(5,4),(5,6),(6,1),(6,2),(6,3),(6,4),(6,5),(6,6)] = 27
  
  So Probability = 27/36 = 3/4

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