Class 11 Math - Probability - MERIT YARD
Class 11 Math - Probability - MERIT YARD
1 / 40The mathematical set of all possible outcomes of a random experiment is strictly called the:
A) Sample space
B) Event
C) Trial
D) Subset
2 / 40If a fair coin is tossed exactly once, the total number of possible outcomes is:
A) \( 1 \)
B) \( 2 \)
C) \( 3 \)
D) \( 4 \)
3 / 40If a standard die is rolled exactly once, the total number of possible outcomes is:
A) \( 2 \)
B) \( 4 \)
C) \( 6 \)
D) \( 8 \)
4 / 40The numerical probability of an impossible event is always equal to:
A) \( 1 \)
B) \( 0.5 \)
C) \( -1 \)
D) \( 0 \)
5 / 40The numerical probability of a sure (certain) event is always equal to:
A) \( 1 \)
B) \( 0 \)
C) \( 0.5 \)
D) \( 100 \)
6 / 40For any given event \( E \), the strictly defined mathematical range of probability \( P(E) \) is:
A) \( 0 < P(E) < 1 \)
B) \( 0 \le P(E) \le 1 \)
C) \( -1 \le P(E) \le 1 \)
D) \( P(E) \ge 0 \)
7 / 40If \( P(E) \) is the probability of an event, then \( P(\text{not } E) \) or \( P(E') \) is given by:
A) \( P(E) - 1 \)
B) \( P(E) + 1 \)
C) \( 1 - P(E) \)
D) \( 0 \)
8 / 40Two events \( A \) and \( B \) are mathematically mutually exclusive if their intersection \( A \cap B \) is:
A) \( S \)
B) \( 1 \)
C) \( A \)
D) \( \emptyset \)
9 / 40If \( A \) and \( B \) are mutually exclusive events, then the probability \( P(A \cap B) \) is:
A) \( 0 \)
B) \( 1 \)
C) \( P(A)P(B) \)
D) \( 0.5 \)
10 / 40Events whose mathematical union exactly forms the entire sample space \( S \) are called:
A) Mutually exclusive
B) Exhaustive events
C) Simple events
D) Independent
11 / 40The general Addition Theorem for any two completely random events \( A \) and \( B \) is \( P(A \cup B) = \)
A) \( P(A) + P(B) \)
B) \( P(A)P(B) \)
C) \( P(A) + P(B) - P(A \cap B) \)
D) \( 1 - P(A) \)
12 / 40If \( A \) and \( B \) are completely mutually exclusive events, then \( P(A \cup B) = \)
A) \( 0 \)
B) \( 1 \)
C) \( P(A)P(B) \)
D) \( P(A) + P(B) \)
13 / 40In a standard deck of playing cards, the total exact number of cards is:
A) \( 52 \)
B) \( 26 \)
C) \( 13 \)
D) \( 54 \)
14 / 40The probability of getting exactly a 'Head' when a fair coin is tossed once is:
A) \( 1 \)
B) \( \frac{1}{2} \)
C) \( \frac{1}{4} \)
D) \( 0 \)
15 / 40The probability of getting an even number when a single fair die is thrown is:
A) \( \frac{1}{3} \)
B) \( \frac{1}{6} \)
C) \( \frac{1}{2} \)
D) \( 1 \)
16 / 40A fair coin is tossed exactly twice. The sample space has how many total elements?
A) \( 2 \)
B) \( 6 \)
C) \( 8 \)
D) \( 4 \)
17 / 40The sample space for tossing exactly 3 coins simultaneously contains how many outcomes?
A) \( 8 \)
B) \( 6 \)
C) \( 9 \)
D) \( 12 \)
18 / 40If two standard dice are thrown simultaneously, the total number of outcomes in the sample space is:
A) \( 12 \)
B) \( 36 \)
C) \( 24 \)
D) \( 6 \)
19 / 40If \( P(A) = 0.4 \), find the exact numerical value of \( P(A') \).
A) \( 0.4 \)
B) \( 0.5 \)
C) \( 0.6 \)
D) \( 1.0 \)
20 / 40The probability of drawing exactly a 'King' from a well-shuffled deck of 52 cards is:
A) \( \frac{1}{52} \)
B) \( \frac{1}{2} \)
C) \( \frac{1}{4} \)
D) \( \frac{1}{13} \)
21 / 40The probability of drawing any 'Red' card from a standard deck of 52 cards is:
A) \( \frac{1}{2} \)
B) \( \frac{1}{4} \)
C) \( \frac{1}{13} \)
D) \( \frac{1}{26} \)
22 / 40An event that mathematically contains exactly one single sample point is called a:
A) Compound event
B) Simple event
C) Impossible event
D) Sure event
23 / 40An event that mathematically contains strictly more than one sample point is called a:
A) Simple event
B) Null event
C) Compound event
D) Exhaustive event
24 / 40If \( P(A \cup B) = 1 \), then events \( A \) and \( B \) are strictly known as:
A) Impossible events
B) Mutually exclusive
C) Independent events
D) Exhaustive events
25 / 40What is the probability of rolling a number strictly greater than 6 on a standard die?
A) \( 0 \)
B) \( 1 \)
C) \( \frac{1}{6} \)
D) \( \frac{1}{2} \)
26 / 40What is the probability of rolling a number strictly less than 7 on a standard die?
A) \( 0 \)
B) \( 1 \)
C) \( \frac{5}{6} \)
D) \( \frac{1}{2} \)
27 / 40In a standard deck of cards, exactly how many 'Face cards' (Jack, Queen, King) are there?
A) \( 4 \)
B) \( 16 \)
C) \( 12 \)
D) \( 26 \)
28 / 40If \( A \) is any possible event, then \( P(A) + P(A') \) is strictly and always equal to:
A) \( 0 \)
B) \( 0.5 \)
C) \( P(A) \)
D) \( 1 \)
29 / 40Find the exact probability of getting exactly two heads when two coins are tossed.
A) \( \frac{1}{4} \)
B) \( \frac{1}{2} \)
C) \( \frac{3}{4} \)
D) \( 1 \)
30 / 40Find the probability of getting a prime number when a standard die is rolled exactly once.
A) \( \frac{1}{3} \)
B) \( \frac{1}{2} \)
C) \( \frac{1}{6} \)
D) \( \frac{2}{3} \)
31 / 40Which of the following numerical values fundamentally cannot be the probability of an event?
A) \( 0 \)
B) \( 0.99 \)
C) \( -0.5 \)
D) \( 1 \)
32 / 40Let \( S \) be a given sample space. The defined mathematical probability of the sample space \( P(S) \) is:
A) \( 0 \)
B) \( 0.5 \)
C) \( S \)
D) \( 1 \)
33 / 40Let \( \emptyset \) be the completely empty set. The exact defined probability \( P(\emptyset) \) is:
A) \( 0 \)
B) \( 1 \)
C) \( 0.5 \)
D) \( -1 \)
34 / 40If \( P(A) = 0.5 \), \( P(B) = 0.3 \), and \( A, B \) are mutually exclusive, find \( P(A \cup B) \).
A) \( 0.15 \)
B) \( 0.8 \)
C) \( 0.2 \)
D) \( 1.0 \)
35 / 40In an experiment of tossing a coin, the basic events 'getting a Head' and 'getting a Tail' are:
A) Independent
B) Only exhaustive
C) Mutually exclusive & exhaustive
D) Simple only
36 / 40The exact total number of 'Spades' in a standard deck of 52 cards is:
A) \( 4 \)
B) \( 26 \)
C) \( 52 \)
D) \( 13 \)
37 / 40What is the exact probability of drawing an Ace of Hearts from a standard deck?
A) \( \frac{1}{52} \)
B) \( \frac{1}{13} \)
C) \( \frac{1}{4} \)
D) \( \frac{4}{52} \)
38 / 40If a fair coin is tossed \( n \) times consecutively, the total number of outcomes is strictly:
A) \( n^2 \)
B) \( 2^n \)
C) \( 2n \)
D) \( n! \)
39 / 40A die is thrown once. The exact probability of getting a strict multiple of 3 is:
A) \( \frac{1}{6} \)
B) \( \frac{1}{2} \)
C) \( \frac{1}{3} \)
D) \( \frac{2}{3} \)
40 / 40If \( A \subset B \), then which mathematical probability inequality is always true?
A) \( P(A) > P(B) \)
B) \( P(A) = P(B) \)
C) \( P(A) = 1 \)
D) \( P(A) \le P(B) \)
Test Analysis

Correct ✅ 0

Wrong ❌ 0

Unattempted ⚠️ 40

Accuracy 🎯 0%

Time Taken ⏱️ 00m 00s

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