Probability Test 4

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Probability Test 4

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Weekly Quiz Competition

Question 1
1 / -0

Any subset of sample space is called

A
event

B
probability

C
outcome

D
exprement

Solution

The set of all the possible outcomes is called the sample space of the experiment and is usually denoted by S. Any subset E of the sample space S is called an event. Here are some examples. Example 1 Tossing a coin
Question 2
1 / -0

The probability of an event which is sure to occur at every performance of an experiment is called a ___________.

A
simple event

B
compound event

C
complementary event

D
certain event

Solution

The probability of an event which is sure to occur at every performance of an experiment is called a certain event.
Example: Head or Tail is a certain event connected with tossing a coin.
Question 3
1 / -0

Choosing a queen from a deck of cards is an example of

A
compound event

B
complementary event

C
simple event

D
impossible event

Solution

Choosing a queen from a deck of cards is an example of compound event.
Because the total number of card $$= 52$$
Choosing a queen card $$= 4$$ (spade, diamond, heart, club)
So, more than one element of the sample space in the set representing an event, then this event is called a compound event.
Question 4
1 / -0

The sample space in the set representing an event more than one element is called

A
compound

B
simple

C
impossible

D
complementary

Solution

The sample space in the set representing an event more than one element is called compound event.
Example: if we throw a dice, having $$S = {1, 2, 3, 4, 5, 6}$$, the event of a even number being shown is given by $$E = \{2, 4, 6\}$$.
Question 5
1 / -0

A die is rolled, find the probability that an odd numbers is obtained.

A
$$\dfrac{1}{2}$$

B
$$\dfrac{3}{2}$$

C
$$\dfrac{7}{2}$$

D
$$\dfrac{6}{3}$$

Solution

Sample space for a die $$= {1, 2, 3, 4, 5, 6} = 6$$
Odd numbers $$= 1, 3, 5 = 3$$
So, $$P$$ (Odd number) $$=$$ $$\dfrac{3}{6}= \dfrac{1}{2}$$
Question 6
1 / -0

The probability of an _____ is greater than or equal to $$0$$ and less than or equal to $$1$$.

A
space

B
experiment

C
sample

D
event

Solution

The probability of an event is greater than or equal to $$0$$ and less than or equal to $$1$$.
Question 7
1 / -0

A die is thrown once. What is the sample space?

A
$${1, 2, 3}$$

B
$${6}$$

C
$${1, 2, 3, 4, 5, 6}$$

D
$${1}$$

Solution

Sample space, $$S = {1, 2, 3, 4, 5, 6}$$
Question 8
1 / -0

A ______ experiment is a process whose outcome is undetermined.

A
variable

B
random

C
event

D
sample

Solution

A random experiment is a process whose outcome is undetermined.
Example: tossing a coin once or two times.
Question 9
1 / -0

What is the sample space for choosing an odd number from $$2$$ to $$10$$ at random?

A
$${2, 4, 6, 8, 10}$$

B
$${1, 2, 3, 5}$$

C
$${3, 5, 7, 9}$$

D
$${1, 2, 3, 5, 7}$$

Solution

Sample space is the collection of all possible events.
So, the sample space for choosing an odd number from $$2$$ to $$10$$ at random $$=$$ $${3, 5, 7, 9}$$
Question 10
1 / -0

Find the sample space for choosing a prime number less than $$20$$ at random.

A
$${2, 3, 5, 7, 11, 13, 17, 19}$$

B
$${2, 3, 4, 5, 7, 11, 13, 17, 19}$$

C
$${ 2, 3, 5, 7, 11, 13, 17, 19, 20}$$

D
$${2, 3, 5, 7, 11, 13, 17, 19, 15}$$

Solution

Sample space is the collection of all possible events.
So, sample space for choosing a prime number less than $$20$$ $$= {2, 3, 5, 7, 11, 13, 17, 19}$$

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Re-Attempt Weekly Quiz Competition

Probability Test 4

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Probability Test 4

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SHARING IS CARING

Question 1

event

probability

outcome

exprement

Solution

Question 2

simple event

compound event

complementary event

certain event

Solution

Question 3

compound event

complementary event

simple event

impossible event

Solution

Question 4

compound

simple

impossible

complementary

Solution

Question 5

$$\dfrac{1}{2}$$

$$\dfrac{3}{2}$$

$$\dfrac{7}{2}$$

$$\dfrac{6}{3}$$

Solution

Question 6

space

experiment

sample

event

Solution

Question 7

$${1, 2, 3}$$

$${6}$$

$${1, 2, 3, 4, 5, 6}$$

$${1}$$

Solution

Question 8

variable

random

event

sample

Solution

Question 9

$${2, 4, 6, 8, 10}$$

$${1, 2, 3, 5}$$

$${3, 5, 7, 9}$$

$${1, 2, 3, 5, 7}$$

Solution

Question 10

$${2, 3, 5, 7, 11, 13, 17, 19}$$

$${2, 3, 4, 5, 7, 11, 13, 17, 19}$$

$${ 2, 3, 5, 7, 11, 13, 17, 19, 20}$$

$${2, 3, 5, 7, 11, 13, 17, 19, 15}$$

Solution

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