Probability Test

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Probability Test - 16

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Weekly Quiz Competition

Question 1
1 / -0

The outcomes of a random experiment are called _____ connected with the experiment.

A
space

B
events

C
experiment

D
random

Solution

The outcomes of a random experiment are called events connected with the experiment.
Example: $$1, 2, 3, 4, 5, 6$$ are the outcomes of the random experiment of rolling a dice and hence are events connected with it.
Question 2
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 3
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 4
1 / -0

What is called one or more outcomes of an experiment?

A
Space

B
Experiment

C
Sample

D
Event

Solution

Event is called one or more outcomes of an experiment.
Example: rolling a dice, we get a possible outcomes as $$\{1, 2, 3, 4, 5, 6\}$$.
Question 5
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 6
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 7
1 / -0

The probability of the _______ of an event is one minus the probability of the event.

A
sample

B
event

C
complement

D
exhaustive

Solution

The probability of the complement of an event is one minus the probability of the event.
Question 8
1 / -0

When tossing a fair $$6$$-sided die, the probability of not getting $$3$$ would be

A
$$\dfrac{5}{7}$$

B
$$\dfrac{1}{6}$$

C
$$\dfrac{5}{6}$$

D
$$\dfrac{2}{6}$$

Solution

Complement: $$P(\bar A) = 1 - P(A)$$
$$P(\bar 3) = 1 - P(3)$$$$=$$ $$1 - \dfrac{1}{6} = \dfrac{5}{6}$$
Question 9
1 / -0

If $$P(A) =$$ $$\dfrac{1}{2}$$, what is the value of $$P(\bar A)$$?

A
$$\dfrac{5}{6}$$

B
$$\dfrac{1}{6}$$

C
$$\dfrac{7}{6}$$

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

Solution

Given $$P(A)= \dfrac {1}{2}$$
Complement: $$P(\bar A) = 1 - P(A)$$$$=$$ $$1 - \dfrac{1}{2} = \dfrac{1}{2}$$
Question 10
1 / -0

Two coins are tossed, what is the sample space?

A
$${(H, T), (H, T), (T, H), (H, H)}$$

B
$${(H, T), (T, T), (T, H), (H, H)}$$

C
$${(T, T), (H, H)}$$

D
$${(H, T), (T, T)}$$

Solution

Sample space is the collection of all possible events.
So, sample space of tossing two coins, $$S = {(H, T), (T, T), (T, H), (H, H)}$$

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Re-Attempt Weekly Quiz Competition

Probability Test - 16

Result

Probability Test - 16

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SHARING IS CARING

Question 1

space

events

experiment

random

Solution

Question 2

compound event

complementary event

simple event

impossible event

Solution

Question 3

simple event

compound event

complementary event

certain event

Solution

Question 4

Space

Experiment

Sample

Event

Solution

Question 5

compound

simple

impossible

complementary

Solution

Question 6

$${1, 2, 3}$$

$${6}$$

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

$${1}$$

Solution

Question 7

sample

event

complement

exhaustive

Solution

Question 8

$$\dfrac{5}{7}$$

$$\dfrac{1}{6}$$

$$\dfrac{5}{6}$$

$$\dfrac{2}{6}$$

Solution

Question 9

$$\dfrac{5}{6}$$

$$\dfrac{1}{6}$$

$$\dfrac{7}{6}$$

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

Solution

Question 10

$${(H, T), (H, T), (T, H), (H, H)}$$

$${(H, T), (T, T), (T, H), (H, H)}$$

$${(T, T), (H, H)}$$

$${(H, T), (T, T)}$$

Solution

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