Probability

191 Maharashtra State Board Class 11 Mathematics practice questions with answers and worked solutions.

Difficulty: 53 easy · 118 moderate · 20 hard.
Most-asked subtopics: Probability of an Event and its Elementary Properties (51), Conditional Probability and the Multiplication Theorem (35), Independent Events (31).
Updated 16 August 2026.

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#1Basic Terminology and Sample Space
#2Basic Terminology and Sample Space
#3Basic Terminology and Sample Space
#4Basic Terminology and Sample Space
#5Probability of an Event and its Elementary Properties
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#6Probability of an Event and its Elementary Properties
#7Probability of an Event and its Elementary Properties
#8Probability of an Event and its Elementary Properties
Set · 2 questions
There are four pens: Red, Green, Blue and Purple in a desk drawer of which two pens are selected at random one after the other with replacement. State the sample space and the following events.
- #9Basic Terminology and Sample Space
- #10Basic Terminology and Sample Space
Set · 3 questions
A coin and a die are tossed simultaneously. Enumerate the sample space and the following events.
- #11Basic Terminology and Sample Space
- #12Basic Terminology and Sample Space
- #13Basic Terminology and Sample Space
Set · 4 questions
Find $n(S)$ for each of the following random experiments.
- #14Basic Terminology and Sample Space
- #15Basic Terminology and Sample Space
- #16Basic Terminology and Sample Space
- #17Basic Terminology and Sample Space
Set · 6 questions
Two fair dice are thrown. State the sample space and write the favorable outcomes for the following events.
- #18Basic Terminology and Sample Space
- #19Basic Terminology and Sample Space
- #20Basic Terminology and Sample Space
- #21Basic Terminology and Sample Space
- #22Basic Terminology and Sample Space
- #23Basic Terminology and Sample Space
Set · 2 questions
A bag contains four cards marked as 5, 6, 7 and 8. Find the sample space if two cards are drawn at random
- #24Basic Terminology and Sample Space
- #25Basic Terminology and Sample Space
Set · 4 questions
A fair die is thrown two times. Find the probability that
- #26Probability of an Event and its Elementary Properties
- #27Probability of an Event and its Elementary Properties
- #28Probability of an Event and its Elementary Properties
- #29Probability of an Event and its Elementary Properties
Set · 5 questions
Two cards are drawn from a pack of 52 cards. Find the probability that
- #30Probability of an Event and its Elementary Properties
- #31Probability of an Event and its Elementary Properties
- #32Probability of an Event and its Elementary Properties
- #33Probability of an Event and its Elementary Properties
- #34Probability of an Event and its Elementary Properties
Set · 4 questions
Three cards are drawn from a pack of 52 cards. Find the chance that
- #35Probability of an Event and its Elementary Properties
- #36Probability of an Event and its Elementary Properties
- #37Probability of an Event and its Elementary Properties
- #38Probability of an Event and its Elementary Properties
Set · 3 questions
From a bag containing 10 red, 4 blue and 6 black balls, a ball is drawn at random. Find the probability of drawing
- #39Probability of an Event and its Elementary Properties
- #40Probability of an Event and its Elementary Properties
- #41Probability of an Event and its Elementary Properties
Set · 4 questions
A box contains 75 tickets numbered 1 to 75. A ticket is drawn at random from the box. Find the probability that,
- #42Probability of an Event and its Elementary Properties
- #43Probability of an Event and its Elementary Properties
- #44Probability of an Event and its Elementary Properties
- #45Probability of an Event and its Elementary Properties
#46Probability of an Event and its Elementary Properties
Set · 2 questions
Find the probability of getting both red balls, when from a bag containing 5 red and 4 black balls, two balls are drawn,
- #47Probability of an Event and its Elementary Properties
- #48Probability of an Event and its Elementary Properties
Set · 2 questions
A room has three sockets for lamps. From a collection 10 bulbs of which 6 are defective. At night a person selects 3 bulbs, at random and puts them in sockets. What is the probability that
- #49Probability of an Event and its Elementary Properties
- #50Probability of an Event and its Elementary Properties

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