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SSC CGL Probability — practice questions — page 2

Explore 45 free Probability questions in SSC CGL Quantitative Aptitude. Open each question or exercise to read its content, reference answers and available explanation.

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Probability questions and exercises with answers

Showing questions 31–45 of 45.

A lottery sells 200 tickets and has 5 prizes. Chance a ticket wins?Read the answer and worked solution →A and B are mutually exclusive, P(A)=0.3 and P(B)=0.45. Find P(A or B).Read the answer and worked solution →Independent events have P(A)=1/3 and P(B)=1/4. Find P(A and B).Read the answer and worked solution →For independent events, P(A)=0.6 and P(B)=0.5. Find P(both occur).Read the answer and worked solution →P(A)=0.5, P(B)=0.4 and P(A and B)=0.2. Find P(A or B).Read the answer and worked solution →A spinner has 8 equal sectors numbered 1 to 8. Chance of a number above 5?Read the answer and worked solution →A class has 40 students, 18 of them girls. One is chosen. Chance of a girl?Read the answer and worked solution →A box has 50 bulbs and 4 are defective. Chance a chosen bulb is good?Read the answer and worked solution →A two-digit number is chosen at random. Chance that it is divisible by 9?Read the answer and worked solution →A die is thrown. Chance of getting a number greater than 4 or an even one?Read the answer and worked solution →Two dice are thrown. Chance of at least one six?Read the answer and worked solution →A standard deck contains how many court (face) cards in total?Read the answer and worked solution →On a standard die, the face opposite the face showing 2 carries the numberRead the answer and worked solution →How many equally likely outcomes arise when two dice are thrown once?Read the answer and worked solution →The set of all possible results of an experiment is called itsRead the answer and worked solution →

Worked practice questions

A lottery sells 200 tickets and has 5 prizes. Chance a ticket wins?

  1. 1/25
  2. 1/50
  3. 1/20
  4. 1/40
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Correct answer: D. 1/40

5 winning tickets out of 200 gives 5/200 = 1/40.

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A and B are mutually exclusive, P(A)=0.3 and P(B)=0.45. Find P(A or B).

  1. 0.75
  2. 0.135
  3. 0.15
  4. 0.85
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Correct answer: A. 0.75

For mutually exclusive events probabilities add: 0.3 + 0.45 = 0.75.

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Independent events have P(A)=1/3 and P(B)=1/4. Find P(A and B).

  1. 7/12
  2. 1/4
  3. 1/12
  4. 1/7
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Correct answer: C. 1/12

For independent events the joint probability is the product: 1/3 x 1/4 = 1/12.

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