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Probability MATHS - Probability

Rajasthan Board (RBSE) - STD 12 Science - MATHS (Rajasthan - English Medium). 285 questions in this chapter.

Question types

Probability question types

285 questions across 5 question groups — pick any mix to generate a MATHS paper with step-by-step answer keys.

285
Questions
5
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 1M.C.Q (1 Marks)1 Mark
Out of 30 consecutive integers, 2 are chosen at random. The probability that their sum is odd, is
  1. $\frac{14}{29}$
  2. $\frac{16}{29}$
  3. $\frac{15}{29}$
  4. $\frac{10}{29}$
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Q 2M.C.Q (1 Marks)1 Mark
If A and B are two events such that $\text{P(A)}=\frac{3}{8},\text{P(B)}=\frac{5}{4}.$ and $\text{P}(\text{A}|\text{B})\times\text{P}(\overline{\text{A}}\cap\text{B})$ is equals to.
  1. $\frac{2}{5}$
  2. $\frac{3}{8}$
  3. $\frac{3}{20}$
  4. $\frac{6}{25}$
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Q 3M.C.Q (1 Marks)1 Mark
A bag contains 5 brown and 4 white socks. A man pulls out two socks. The probability that these are of the sane colour is.
  1. $\frac{5}{108}$
  2. $\frac{18}{108}$
  3. $\frac{30}{108}$
  4. $\frac{48}{108}$
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Q 4M.C.Q (1 Marks)1 Mark
An urn contains 9 balls two of which are red, three blue and four black. Three balls are drawn at random. The probability that they are of the same colour is,
  1. $\frac{5}{84}$
  2. $\frac{3}{9}$
  3. $\frac{3}{7}$
  4. $\frac{7}{17}$
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Q 5M.C.Q (1 Marks)1 Mark
A die is thrown and a card is selected ar random from a deck pf $52$ playing cards. The probability of getting an even number of the die and a spade card is
  • A
    $\frac{1}{2}$
  • B
    $\frac{1}{4}$
  • ✓
    $\frac{1}{8}$
  • D
    $\frac{3}{4}$

Answer: C.

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Q 82 Marks Questions2 Marks
In a competition A, B and C are participating. The probability that A wins is twice that of B, the probability that B wins is twice that of C. Find the probability that A losses.
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Q 102 Marks Questions2 Marks
A bag contains 8 marbles of which 3 are blue and 5 are red. One marble is drawn at random, its cooler is noted and the marble is replaced in the bag. A marble is again drawn from the bag and its colour is noted. Find the probability that the marble will be,
Blue followed by red.
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Q 112 Marks Questions2 Marks
If $\text{P(A)}=\frac{6}{11},\text{P(B)}=\frac{5}{11}$ and $\text{P}(\text{A}\cap\text{B})=\frac{7}{11},$ find
$\text{P}\Big(\frac{\text{B}}{\text{A}}\Big)$
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Q 133 Marks Question3 Marks
Tickets are numbered from 1 to 10. Two tickets are drawn one after the other at random. Find the probability that the number on one of the tickets is a multiple of 5 and on the other a multiple of 4.
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Q 153 Marks Question3 Marks
A box of oranges is inspected by examining three randomly selected oranges drawn without replacement. If all the three oranges are good, the box is approved for sale otherwise it is rejected. Find the probability that a box containing 15 oranges out of which 12 are good and 3 are bad ones will be approved for sale.
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Q 163 Marks Question3 Marks
A bag contains 5 white, 7 red and 3 black balls. If three balls are drawn one by one without replacement, find the probability that none is red.
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Q 173 Marks Question3 Marks
In a family, the husband tells a lie in 30% cases and the wife in 35% cases. Find the probability that both contradict each other on the same fact.
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Q 195 Marks Questions5 Marks
Assume that each born child is equally likely to be a boy or a girl. If a family has two children, then what is the constitutional probability that both are girls? Given that.
  1. The youngest is a girl,
  2. At least one is a girl.
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Q 225 Marks Questions5 Marks
Let $d_1, d_2, d_3$ be three mutually exclusive diseases. Let $S$ be the set of observable symptoms of these diseases. A doctor has the following information from a random sample of $5000$ patients: $1800$ had disease $d_1, 2100$ has disease $d_2,$ and others had disease $d_3. 1500$ patients with disease $d_1, 1200$ patients with disease $d_2,$ and $900$ patients with disease $d_3$ showed the symptom. Which of the diseases is the patient most likely to have?
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