Question types

Probability question types

206 questions across 6 question groups — pick any mix to generate a Maths paper with step-by-step answer keys.

206
Questions
6
Question groups
5
Question types
Sample Questions

Probability questions

One sample from each question group in this chapter. Select any group above to see the full set with answer keys.

Q 1MCQ1 Mark
If the probability for $A$ to fail in an examination is $0.2$ and that for $B$ is $0.3,$ then the probability that either $A$ or $B$ fails is :
  • A
    $>0.5$
  • B
    $0.5$
  • $\leq0.5$
  • D
    $0$

Answer: C.

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Q 2MCQ1 Mark
The probabilities of three mutually exclusive events $A, B$ and $C$ are given by $\frac{2}{3}$, $\frac{1}{4}$ and $\frac{1}{6}$respectively. The statement
  • A
    Is true.
  • Is false.
  • C
    Nothing can be said.
  • D
    Could be either.

Answer: B.

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Q 3MCQ1 Mark
If $S$ is the sample space and $ \text{P(A)} = \frac{1}{3} \text{P(B)}$ and $\text{S} = \text{A}\cup\text{B}$ where $A$ and $B$ are two mutually exclusive events, then $P (A) =$
  • $\frac{1}{4}$
  • B
    $\frac{1}{2}$
  • C
    $\frac{3}{4}$
  • D
    $\frac{3}{8}$

Answer: A.

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Q 4MCQ1 Mark
A box contains $10$ good articles and $6$ with defects. One item is drawn at random. The probability that it is either good or has a defect is :
  • $\frac{16}{16}$
  • B
    $\frac{49}{64}$
  • C
    $\frac{40}{64}$
  • D
    $\frac{24}{64}$

Answer: A.

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Q 5MCQ1 Mark
Without repetition of the numbers, four digit numbers are formed with the numbers $\{0, 2, 3, 5\}$. The probability of such a number divisible by $5$ is:
  • A
    $\frac{1}{5}$
  • B
    $\frac{4}{5}$
  • C
    $\frac{1}{30}$
  • $\frac{5}{9}$

Answer: D.

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Which of the following cannot be valid assignment of probability for elements or outcomes of sample space $s = W_1, W_2,W_{3,} W_4, W_5, W_6, W_7$.
​​​​​​​
Elementary events: $W_1$ $W_2$ $W_3$ $W_4$ $W_5$ $W_6$ $W_7$​​​​​​​
  $0.7$ $0.6$ $0.5$ $0.4$ $0.3$ $0.2$ $0.1$
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Which of the following cannot be valid assignment of probability for elements or outcomes of sample space $s = W_1, W_2,W_{3,} W_4, W_5, W_6, W_7$.
Elementary events: $W_1$ $W_2$ $W_3$ $W_4$ $W_5$ $W_6$ $W_7$
  $\frac{1}{14}$ $\frac{2}{14}$ $\frac{3}{14}$ $\frac{4}{14}$ $\frac{5}{14}$ $\frac{6}{14}$ $\frac{15}{14}$
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In a large metropolitan area, the probabilities are 0.87, 0.36, 0.30 that a family (randomly chosen for a sample survey) owns a colour television set, a black and white television set, or both kinds of sets. What is the probability that a family owns either any one or both kinds of sets?
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The probability that a student will pass the final examination in both English and Hindi is 0.5 and the probability of passing neither is 0.1. If the probability of passing the English Examination is 0.75. What is the probability of passing the Hindi Examination?
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