Probability Test

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Probability Test - 6

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Weekly Quiz Competition

Question 1
1 / -0

An unbiased die is thrown once. The probability of getting a prime number is

A
1/2

B
1/3

C
1/5

D
1/4

Solution

Number of possible outcomes = {2, 3, 5} = 3
Number of Total outcomes = 6
∴ Probability of getting a prime number = 3/6=1/2
Question 2
1 / -0

A die is thrown once. The probability of getting an even number and a multiple of 3 is

A
1/6

B
1/5

C
1/3

D
1/2

Solution

Even outcomes = 2 , 4 , 6 = 3
Multiple of 3 also = 6 =1 only
Number of possible outcomes = {6} = 1
Number of Total outcomes = 6
∴ Required Probability = 1/6
Question 3
1 / -0

When a die is thrown, the probability of getting an odd number less than 3 is

A
1/2

B
1/3

C
1/6

D
1/4

Solution

Odd outcomes are 1 , 3 , 5 but 3 and 5 are not less than 3
Number of possible outcomes whtch are odd and less than 3 = 1
Number of possible outcomes = {1} = 1
Number of Total outcomes = 6
∴ Required Probability = 1/6
Question 4
1 / -0

One card is drawn from a well shuffled pack of 52 cards. The probability of getting an ace is

A
1/52

B
4/13

C
2/13

D
1/13

Solution

Number of possible outcomes = 4
Number of Total outcomes = 52
∴ Probability of getting an ace = 4/52=1/13
Question 5
1 / -0

A box contains 3 blue balls, 2 white balls and 4 red balls. If a ball is drawn at random from the box, the probability of getting a white ball is

A
3/9

B
1

C
4/9

D
2/9

Solution

Number of outcomes = 2
Number of total outcomes = 3 + 2 + 4 = 9
∴ Required Probability =2/9
Question 6
1 / -0

If ‘φ’ is an impossible event, then p(φ) =

A
1/4

B
0

C
1/2

D
1

Solution

An event which has no chance of occurring is called an impossible event

If ‘φ’ is an impossible event, then p(φ) = 0
Question 7
1 / -0

If S is the sample space of a random experiment, then P(S) =

A
1/4

B
1/8

C
1

D
0

Solution

If S is the sample space of a random experiment, then P(S) = 1
Question 8
1 / -0

There are 8 defective items in a sample of 24 items. One item is drawn at random. The probability that it is a non-defective item is

A
2/3

B
1

C
1/2

D
1/3

Solution

Number of Non-defective items = 24 – 8 = 16
Number of possible outcomes = 16
Number of Total outcomes = 24
Probability of getting a Non-defective item = 16/24=2/3
Question 9
1 / -0

The probability that a student will score centum in Mathematics is 3/10. The probability that the student will not score centum is

A
1/3

B
1/2

C
7/10

D
6/10

Solution

Given: P (E) = 3/10
P (not E) = 1 – P (E) = 1−3/10=7/10

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Re-Attempt Weekly Quiz Competition

Probability Test - 6

Result

Probability Test - 6

Score

-

Rank

-

SHARING IS CARING

Question 1

1/2

1/3

1/5

1/4

Solution

Question 2

1/6

1/5

1/3

1/2

Solution

Question 3

1/2

1/3

1/6

1/4

Solution

Question 4

1/52

4/13

2/13

1/13

Solution

Question 5

3/9

1

4/9

2/9

Solution

Question 6

1/4

0

1/2

1

Solution

Question 7

1/4

1/8

1

0

Solution

Question 8

2/3

1

1/2

1/3

Solution

Question 9

1/3

1/2

7/10

6/10

Solution

User

Question Analysis

My Perfomance

Score

-

Rank

-

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