Probability Test

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Probability Test - 8

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Weekly Quiz Competition

Question 1
1 / -0

The probability of a sure event is

A
1

B
0

C
100

D
0.1

Solution

The probability of a sure event is always 1.
Question 2
1 / -0

The probability of an impossible event is

A
zero

B
0.01

C
1

D
100

Solution

An event which has no chance of occurrence is called an impossible event.

for example: The probability of getting more than 6 when a die is thrown is an impossible event because the highest number in a die is 6

The probability of an impossible event is always zero.(0)
Question 3
1 / -0

A box contains 10 white, 6 red and 10 black balls. A ball is drawn at random. The probability that the ball drawn is white or red is

A
8/13

B
4/13

C
6/13

D
10/13

Solution

Number of possible outcomes (No. of white and red balls) = 10 + 6 = 16
Number of Total outcomes = 10 + 6 + 10 = 26
Required Probability = 16/26 = 8/13
Question 4
1 / -0

A letter is chosen at random from the word ‘ACCOMMODATION’. The probability that it is ‘A’ or ‘O’ is

A
6/13

B
8/13

C
5/13

D
10/13

Solution

Number of possible outcomes = {A, O, O, A O} = 5
Number of Total outcomes = 13
Required Probability = 5/13
Question 5
1 / -0

A card is drawn at random from a well shuffled deck of 52 cards. The probability that it will be a spade or a king is

A
6/13

B
4/13

C
10/13

D
8/13

Solution

Number of spades = 13
Number of kings = 3 (one spade king is counted in No. of spades)
Number of possible outcomes = 13 + 3 = 16
Number of Total outcomes = 52
Required Probability = 16/52 = 4/13
Question 6
1 / -0

One number is chosen randomly from the integers 1 to 50. The probability that it is divisible by 4 or 6 is

A
2/25

B
4/25

C
6/25

D
8/25

Solution

numbers divisible by 4 = 4 8 12 16 20 24 28 32 36 40 44 48
numbers divisible by 6 = 6 12 18 24 30 36 42 48
Number of possible outcomes = {4, 6, 8, 12, 16, 18, 20, 24, 28, 30, 32, 36, 40, 42, 44, 48} = 16
Number of Total outcomes = 50
∴ Required Probability = 16/50 = 8/25
Question 7
1 / -0

Two dice are rolled simultaneously. The probability that the sum of the numbers on the faces is 9 is

A
1/9

B
4/9

C
2/9

D
5/9

Solution

Number of possible outcomes = {(3, 6), (5, 4), (4, 5), (6, 3)} = 4
Number of Total outcomes = 6 ×× 6 = 36
∴ Required Probability = 4/36 = 1/9
Question 8
1 / -0

A ticket is drawn from a bag containing 100 tickets numbered from 1 to 100. The probability of getting a ticket with a number divisible by 10 is

A
4/10

B
1/10

C
3/10

D
1/5

Solution

Number of possible outcomes = {10, 20, 30, 40, 50, 60, 70, 80, 90, 100} = 10
Number of Total outcomes = 100
∴ Required Probability = 10/100 = 1/10
Question 9
1 / -0

3 rotten eggs are mixed with 12 good ones. One egg is chosen at random. The probability of choosing a rotten egg is

A
1/15

B
1/5

C
2/5

D
4/5

Solution

Number of possible outcomes = 3
Number of Total outcomes = 15
∴ Required Probability = 3/15 = 1/5
Question 10
1 / -0

Two coins are tossed together. The probability of getting at most one head is

A
3/4

B
2/4

C
1/4

D
1

Solution

Number of Total outcomes ={HH, HT, TH, TT} = 4
Number of possible outcomes = (HH , HT, TH ) = 3
∴ Required Probability = 3/4

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Re-Attempt Weekly Quiz Competition

Probability Test - 8

Result

Probability Test - 8

Score

-

Rank

-

SHARING IS CARING

Question 1

1

0

100

0.1

Solution

Question 2

zero

0.01

1

100

Solution

Question 3

8/13

4/13

6/13

10/13

Solution

Question 4

6/13

8/13

5/13

10/13

Solution

Question 5

6/13

4/13

10/13

8/13

Solution

Question 6

2/25

4/25

6/25

8/25

Solution

Question 7

1/9

4/9

2/9

5/9

Solution

Question 8

4/10

1/10

3/10

1/5

Solution

Question 9

1/15

1/5

2/5

4/5

Solution

Question 10

3/4

2/4

1/4

1

Solution

User

Question Analysis

My Perfomance

Score

-

Rank

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