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# Test: Introduction To Probability

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## 10 Questions MCQ Test Mathematics (Maths) Class 11 | Test: Introduction To Probability

Test: Introduction To Probability for JEE 2023 is part of Mathematics (Maths) Class 11 preparation. The Test: Introduction To Probability questions and answers have been prepared according to the JEE exam syllabus.The Test: Introduction To Probability MCQs are made for JEE 2023 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Test: Introduction To Probability below.
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Test: Introduction To Probability - Question 1

### The sample space of an experiment is S = {HHH, HHT, HTH, THH, HTT, THT, TTH, TTT} and A = {TTT}, B = {HTT, THT, TTH}, C = {HHT, HTH, THH, HHH}, then A, B and C form a set of?

Detailed Solution for Test: Introduction To Probability - Question 1

Above information has no common element in three of them and U of three sets forms sample set . Therefore option C is correct.

Test: Introduction To Probability - Question 2

### When the sets A and B are two events associated with a sample space, then  "A ∩ B " is the event common to

Detailed Solution for Test: Introduction To Probability - Question 2

Intersection of two sets A ∩ B is the set of those elements which are common to both A and B. i.e., which belong to both ‘A and B’.
If A and B are two events, then the set A ∩ B denotes the event ‘A and B’.

Test: Introduction To Probability - Question 3

### If an event has more than one sample point, it is called a ………

Test: Introduction To Probability - Question 4

The numbers 2, 4, 6, 8 and 10 are written separately on five slips of paper. The slips are put in a box and mixed thoroughly. A person draws two slips from the box, one after the other, without replacement. Then, the sample space for the experiment is:

Detailed Solution for Test: Introduction To Probability - Question 4

Elements {2,4,6,8,10}
A person draws two slips from the box, one after the other, without replacement:
Sample Space ={(2,4) (2,6) (2,8) (2,10) (4,2) (4,6) (4,8) (4,10) (6,2) (6,4) (6,8) (6,10) (8,2) (8,4) (8,6) (8,10) (10,2) (10,4) (10,6) (10,8)}

Test: Introduction To Probability - Question 5

If 2/7 is the probability of an event, then the probability of the event ‘not A’ is:

Detailed Solution for Test: Introduction To Probability - Question 5

If 2/7 is probability of event A then the probability of an event not A is 1-(2/7) i.e.,    probability of not A is 5/7

Test: Introduction To Probability - Question 6

A possible result of a random experiment is called its ……

Detailed Solution for Test: Introduction To Probability - Question 6

After the experiment, the result of the random experiment is known. An outcome is a result of a random experiment. The set of all possible outcomes is called the sample space.

Test: Introduction To Probability - Question 7

Two students Amit and Priyanka appeared in an examination. The probability that Amit will qualify the examination is 0.06 and that Priyanka will qualify the examination is 0.12. The probability that both will qualify the examination is 0.02. Then, the probability that both Amit and Priyanka will not qualify the examination is:

Detailed Solution for Test: Introduction To Probability - Question 7

Probability that Amit will qualify the exam(E) = 0.06
Probability that Priyanka will qualify the exam(F) = 0.12
Probability that both will qualify the exam P(E⋂F) = 0.02
P(EUF) = P(E) + P(F) - P(EUF)
= 0.06 + 0.12 - 0.02   = 0.16
P(E’⋂F’) = 1 - P(EUF)
⇒ 1 - 0.16
= 0.84

Test: Introduction To Probability - Question 8

The sample space associated to thrown a dice is

Test: Introduction To Probability - Question 9

An experiment involves rolling a pair of dice and recording the number that comes up. Suppose,
A: the sum is greater than 8.
B: 2 occurs on either die. Then A and B are ……. events.

Detailed Solution for Test: Introduction To Probability - Question 9

Mutually exclusive means no common event.
if 2 comes on either dive then sum can't be greater than 8.It will always less than or equal to 8.
So mutually exclusive.

Test: Introduction To Probability - Question 10

A box contains 15 red marbles, 15 blue marbles and 30 green marbles. 5 marbles are drawn from the box, what is the probability that atleast one will be green?

Detailed Solution for Test: Introduction To Probability - Question 10

Probability of getting atleast one green = 1- probability of getting no green = 1-(30C5/60C5) = 4367/4484

## Mathematics (Maths) Class 11

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## Mathematics (Maths) Class 11

156 videos|176 docs|132 tests