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Probability Maths - Probability

Gujarat Board (GSEB) - STD 12 Science - Maths (GSEB - English Medium). 26 questions in this chapter.

Question types

Probability question types

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

26
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
If a dice is rolled two times, then what will be the probability of sum of appeared number is 7 ?
  • A
    $\frac{5}{36}$
  • B
    $\frac{1}{12}$
  • ✓
    $\frac{1}{6}$
  • D
    $\frac{1}{9}$

Answer: C.

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Q 3M.C.Q (1 Marks)1 Mark
Two cards are drawn at random and without replacement from a pack of 52 playing cards, then the probability that both the cards are black is :
  • A
    $\frac{26}{52}$
  • ✓
    $\frac{52}{102}$
  • C
    $\frac{25}{51}$
  • D
    $\frac{1}{2}$

Answer: B.

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Q 4M.C.Q (1 Marks)1 Mark
4 white and 3 black balls are in a bag. 3 white and 4 black balls are in other bag. If a ball is drawn, that is black then find the probability of ball is black drawn from second bag.
  • A
    $\frac{1}{7}$
  • B
    $\frac{2}{7}$
  • C
    $\frac{3}{7}$
  • ✓
    $\frac{4}{7}$

Answer: D.

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Q 5M.C.Q (1 Marks)1 Mark
Probability of speaking truth by A is $\frac{4}{5}$ where as by B is $\frac{3}{4}$. When they speak on a topic, then probability of contradiction:
  • ✓
    $\frac{7}{20}$
  • B
    $\frac{1}{5}$
  • C
    $\frac{3}{20}$
  • D
    $\frac{4}{5}$

Answer: A.

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Q 61 Marks1 Mark
If $P ( A )=\frac{5}{11}, P ( B )=\frac{6}{11}$ and $P ( A \cap B )=\frac{4}{11}$ then find $P\left(\frac{A}{ B }\right)$.
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Q 112 Marks2 Marks
A die is thrown. If $E$ is the event 'the number appearing is a multiple of $3^{\prime}$ and $F$ be the event 'the number appearing is even' then find whether $E$ and $F$ are independent?
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Q 122 Marks2 Marks
A fair die has been tossed. Find $P(E / F)$ and $P(F / E)$ for the events $E =\{1,3,5\}, F =\{2,3\}$ and $G =\{2,3,4,5\}$.
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Q 132 Marks2 Marks
In a pack of 52 cards, one by one, two cards are drawn randomly without replacement. Find the probability of both card will be red in colour.
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Q 142 Marks2 Marks
If A and B are independent events, where $P ( A )=\frac{1}{2}$, $P ( A \cup B )=\frac{3}{5}$ and $P ( B )=x$, then find the value of $x$.
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Q 153 Marks3 Marks
A family has two children. What is the probability that both the children are boys given that at least one of them is a boy?
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Q 164 Marks4 Marks
One by one 3 cards are drawn from a well-shuffled deck of 52 cards without replacement. Find the probability of first two cards are Ace and third card is King.
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Q 174 Marks4 Marks
Suppose a girl throw a die. If she gets 1 or 2, she tosses a coin three times and notes the number of tails. If she gets 3, 4, 5 or 6, she tosses a coin once and notes whether a 'head' or 'tail' is obtained exactly one 'tail', what is the probability that she threw 3, 4, 5 or 6 with the die?
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Q 184 Marks4 Marks
Coloured balls are distributed in 3 bags as shown in the following table :
Colour of balls
BagBlackWhiteRed
I123
1241
III453

A bag is selected at random and then two balls are randomly drawn from the selected bag. The colours of the balls are black and red. What is the probability that ball drawn is from bag I?
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Q 194 Marks4 Marks
A dice rolled two times and sum of appeared number found 7 . Find the conditional probability of getting 3 at least one time.
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Q 204 Marks4 Marks
A bag has 4 red and 6 black balls and other bag has 3 red and 5 black balls. One of the two bags, is selected at random and a ball is drawn at random. The ball drawn is found to be red. What is the probability that ball comes out from second bag?
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