Probability Test

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Probability Test - 15

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Weekly Quiz Competition

Question 1
1 / -0

Set of all possible outcomes is called

A
Event

B
Probability

C
Experiment

D
None of the these

Solution

Set of all possible outcomes is called sample space.
Question 2
1 / -0

The probability of obtaining an even prime number on each die, when a pair of dice is rolled is

A
$$0$$

B
$$\displaystyle\frac { 1 }{ 3 } $$

C
$$\displaystyle\frac { 1 }{ 12 } $$

D
$$\displaystyle\frac { 1 }{ 36 } $$

Solution
Question 3
1 / -0

The event which cannot happen is called

A
outcome

B
impossible event

C
frequency

D
none of these

Solution

In probability, event which cannot happen is called impossible event.
For example: Sun rising in the north is an impossible event
Question 4
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 5
1 / -0

What is the sample space for choosing a letter from a set of vowel ?

A
$$\{a, b, c ........z\}$$

B
$$\{a, e, i, o, u\}$$

C
$$\{a, e, i, o\}$$

D
None of the these

Solution

A letter is choose from set of vowels i.e. $$\{a, e, i, o, u\}$$.
Question 6
1 / -0

Two coins are tossed simultaneously What is the probability of getting two heads?

A
$$\displaystyle \frac{1}{2}$$

B
$$\displaystyle \frac{2}{3}$$

C
$$\displaystyle \frac{1}{3}$$

D
$$\displaystyle \frac{1}{4}$$

Solution

When two coins are tossed the number of outcomes=4 {HH,TT,HT,TH}
The favorable outcomes=1 {HH}
$$\therefore$$ Probability of getting two head$$=\dfrac{Favourable\ outcomes}{Total\ no.\ of\ outcomes }=\dfrac{1}{4}$$
Question 7
1 / -0

Sample space is a set of ..... of an experiment.

A
All possible outcomes

B
Selected outcomes

C
Both

D
None of these

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 8
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 9
1 / -0

When the dice are thrown, the event $$E = {4}$$, then this event is called ____.

A
compound event

B
simple event

C
impossible event

D
complementary event

Solution

When the dice are thrown, the event $$E = {4}$$ then this event is called simple event.
If there be only one element of the sample space in the set representing an event, then this event is called a simple or elementary event.
Question 10
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 $$1$$.

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Re-Attempt Weekly Quiz Competition

Probability Test - 15

Result

Probability Test - 15

Score

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Rank

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SHARING IS CARING

Question 1

Event

Probability

Experiment

None of the these

Solution

Question 2

$$0$$

$$\displaystyle\frac { 1 }{ 3 } $$

$$\displaystyle\frac { 1 }{ 12 } $$

$$\displaystyle\frac { 1 }{ 36 } $$

Solution

Question 3

outcome

impossible event

frequency

none of these

Solution

Question 4

event

probability

outcome

exprement

Solution

Question 5

$$\{a, b, c ........z\}$$

$$\{a, e, i, o, u\}$$

$$\{a, e, i, o\}$$

None of the these

Solution

Question 6

$$\displaystyle \frac{1}{2}$$

$$\displaystyle \frac{2}{3}$$

$$\displaystyle \frac{1}{3}$$

$$\displaystyle \frac{1}{4}$$

Solution

Question 7

All possible outcomes

Selected outcomes

Both

None of these

Solution

Question 8

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

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

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

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

Solution

Question 9

compound event

simple event

impossible event

complementary event

Solution

Question 10

space

experiment

sample

event

Solution

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