Probability Test 5

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Probability Test 5

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Weekly Quiz Competition

Question 1
1 / -0

The set of all possible outcomes of any experiment is called

A
event

B
random experiment

C
sample space

D
sample point

Solution

The set of all possible outcomes of any experiment is called sample space.
Example: toss a coin
Sample space, $$S = \{H, T\}$$
$$H=$$ head
$$T=$$ tail
Question 2
1 / -0

In which experiment outcomes are not predictable?

A
sample

B
event

C
random

D
essential

Solution

In random experiment outcomes are not predictable.
Example: toss a coin, sample space $$= \{H, T\}$$
Question 3
1 / -0

An event which will not occur on any account is called an

A
impossible event

B
sure event

C
exhaustive event

D
complementary

Solution

An event which will not occur on any account is called an impossible event.
Example: getting $$10$$ in rolling a die once is an impossible event.
Question 4
1 / -0

Events $$E_1, E_2, ....E_n$$ are ______ events if their union is the sample space $$S$$.

A
complement

B
exhaustive

C
impossible event

D
sure event

Solution

When a sample space is distributed down into some mutually exclusive events such that their union forms the sample space itself, then such events are called exhaustive events.
Question 5
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, $$S = {(H, T), (T, T), (T, H), (H, H)}$$
Question 6
1 / -0

Toss a fair coin $$3$$ times in a row, how many elements are in the sample space?

A
$$2$$

B
$$4$$

C
$$6$$

D
$$8$$

Solution

Sample space is the collection of all possible events.
So, sample space, $$S = {(H, H, H), (H, H, T), (H, T, T), (H, T, T), (T, H, H), (T, H, T), (T, T, H), (T, T, T)}$$
Therefore, there are $$8$$ elements in sample space.
Question 7
1 / -0

A glass jar contains $$10$$ red, $$12$$ green, $$14$$ blue and $$16$$ yellow marbles. If a single marble is chosen at random from the jar, find the sample space.

A
{red, green, blue, yellow}

B
{red, blue, yellow}

C
{red, yellow}

D
{red, green, blue}

Solution

Sample space is the collection of all possible outcomes.
So, sample space $$=$$ {red, green, blue, yellow}
Question 8
1 / -0

If $$\phi$$ represents an impossible event, then $$P(\phi) =$$ ?

A
$$0$$

B
$$1$$

C
$$\phi$$

D
$$-1$$

Solution

If $$\phi$$ represents an impossible event, then $$P(\phi)= 0$$
Because an impossible event is an event that will never occur in an experiment.
Question 9
1 / -0

An event in which all the possible outcomes of the experiments are present is known as ______ event.

A
a complement.

B
an experiment.

C
a sample space.

D
an exhaustive event.

Solution

A sample space is usually denoted using set notation, and the possible outcomes are listed as elements in the set.
For example, if the experiment is tossing a coin, the sample space is typically the set {head, tail}i.e all possible outcomes.
Question 10
1 / -0

Difference between sample space and subset of sample space is considered as

A
numerical complementary events.

B
equal compulsory events.

C
complementary events.

D
compulsory events.

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
Difference between sample space and subset of sample space is considered as complementary events.

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Re-Attempt Weekly Quiz Competition

Probability Test 5

Result

Probability Test 5

Score

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Rank

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SHARING IS CARING

Question 1

event

random experiment

sample space

sample point

Solution

Question 2

sample

event

random

essential

Solution

Question 3

impossible event

sure event

exhaustive event

complementary

Solution

Question 4

complement

exhaustive

impossible event

sure event

Solution

Question 5

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

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

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

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

Solution

Question 6

$$2$$

$$4$$

$$6$$

$$8$$

Solution

Question 7

{red, green, blue, yellow}

{red, blue, yellow}

{red, yellow}

{red, green, blue}

Solution

Question 8

$$0$$

$$1$$

$$\phi$$

$$-1$$

Solution

Question 9

a complement.

an experiment.

a sample space.

an exhaustive event.

Solution

Question 10

numerical complementary events.

equal compulsory events.

complementary events.

compulsory events.

Solution

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