Probability Test

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Probability Test - 1

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Weekly Quiz Competition

Question 1
1 / -0

The sum of the probabilities of all events of a trial is

A
greater than 1

B
less than 1

C
1

D
between 0 and 1

Solution

Explanation:

The first two basic rules of probability are the following:

Rule 1: Any probability P(A) is a number between 0 and 1 (0 < P(A) < 1).

Rule 2: The probability of the sample space S is equal to 1 (P(S) = 1).
Question 2
1 / -0

The probability of a sure event is

A
more than 1

B
between 0 and 1

C
1

D
less than 1

Solution

Explanation:

A sure event is an event, which always happens. For example, it's a sure event to obtain a number between “1” and “6” when rolling an ordinary die. The probability of a sure event has the value of 1.
Question 3
1 / -0

The probability of an event of a trial is always

A
0

B
more than 1

C
1

D
between 0 and 1 (both inclusive)

Solution

Explanation:

The probability of some events to happen is defined as a value between 0 and 1, where 0 is ”it never happens” and 1 is ”it always happens”.
Question 4
1 / -0

The probability of an impossible event is

A
1

B
less than 1

C
0

D
more than 1

Solution

Explanation:

An impossible event is one, which will never happen. For example, it is impossible to obtain “7” when rolling an ordinary die. The probability of an impossible event has the value of 0.
Question 5
1 / -0

In a cricket match, a batswoman hits the boundary 8 times out of 50 balls she plays. The probability that she did not hit a boundary is

A
21/25

B
4/25

C
41/50

D
1/50

Solution

Explanation:

Total number of balls = 50

Number of boundaries = 8

Number of times she didn't hit a boundary = 50 - 8 = 42

The probability that she did not hit a boundary = 42/50 = 21/25
Question 6
1 / -0

A die is thrown 300 times and odd numbers are obtained 153 times. Then, the probability of getting an even number is

A
147/153

B
147/300

C
153/300

D
174/300

Solution

Explanation:

Number of times the die is rolled = 300

Number of times odd numbers are obtained = 153

Number of times even numbers are obtained = 300 - 153 = 147

The probability of getting an even number =147/300
Question 7
1 / -0

Gugu throws a die once. The probability that she gets a number less than 5 is :

A
1/3

B
1/6

C
5/6

D
2/3

Solution

Explanation:

Total number of outcomes in a single throw of a die =6

Chances of getting numbers less than 5 = 4 (1,2,3 and 4)

So, the probability that she gets a number less than 5 = 4/6 = 2/3
Question 8
1 / -0

Weather forecast from a news channel was correct 125 times out of 365 days. The probability that on a given day it was not correct is

A
5/73

B
25/73

C
48/73

D
16/73

Solution

Explanation:

Number of days = 365

Number of times the weather forecast was correct = 125

Number of times the weather forecast was not correct = 365 - 125 = 240

The probability that on a given day it was not correct = 240 / 365 = 48 / 73
Question 9
1 / -0

Two coins are tossed simultaneously 300 times. Either one or two heads are obtained 198 times. The probability of getting no head is

A
0.45

B
0.36

C
0.34

D
0.21

Solution

Explanation:

Number of times two coins are tossed simultaneously = 300

Number of times either one or two heads are obtained = 198

Number of times no heads are obtained = 300 - 198 = 102

The probability of getting no head = 102 / 300 = 0.34

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Re-Attempt Weekly Quiz Competition

Probability Test - 1

Result

Probability Test - 1

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SHARING IS CARING

Question 1

greater than 1

less than 1

1

between 0 and 1

Solution

Question 2

more than 1

between 0 and 1

1

less than 1

Solution

Question 3

0

more than 1

1

between 0 and 1 (both inclusive)

Solution

Question 4

1

less than 1

0

more than 1

Solution

Question 5

21/25

4/25

41/50

1/50

Solution

Question 6

147/153

147/300

153/300

174/300

Solution

Question 7

1/3

1/6

5/6

2/3

Solution

Question 8

5/73

25/73

48/73

16/73

Solution

Question 9

0.45

0.36

0.34

0.21

Solution

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