Probability Test

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Probability Test - 10

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Weekly Quiz Competition

Question 1
1 / -0

An unbiased die is thrown once. The probability of getting an odd number is

A
1/2

B
2/5

C
1/3

D
2/3

Solution

Number of odd numbers on a dice = {1, 3, 5}, = 3
Number of possible outcomes = 3
Number of Total outcomes = 6
∴ Required Probability = 3/6 = 1/2
Question 2
1 / -0

From a well-shuffled pack of 52 cards, one card is drawn at random. The probability of getting a face card is

A
4/13

B
3/13

C
2/13

D
6/13

Solution

Face Cards are = 4 kings + 4 queens + 4 jacks = 12
Number of possible outcomes = 12
Number of Total outcomes = 52
∴ Required Probability = 12/52 = 3/13
Question 3
1 / -0

An unbiased die is thrown once. The probability of getting a number between 2 and 6 is

A
1/2

B
2/5

C
2/3

D
1/3

Solution

Number of numbers between 2 and 6 on a dice = {3, 4, 5}, = 3
Number of possible outcomes = 3
Number of Total outcomes = 6
∴ Required Probability = 3/6=1/2
Question 4
1 / -0

From a well shuffled pack of 52 cards, one card is drawn at random. The probability of getting a jack of hearts is

A
6/52

B
4/52

C
2/52

D
1/52

Solution

Number of jacks of Heart in a pack of 52 cards = 1
Number of possible outcomes = 1
Number of Total outcomes = 52
∴ Required Probability = 1/52
Question 5
1 / -0

An unbiased die is thrown once. The probability of getting a multiple of 3 is

A
2/3

B
1/3

C
2/5

D
1/2

Solution

Number of multiple of 3 on a dice = {3, 6}, = 2
Number of possible outcomes = 2
Number of Total outcomes = 6
∴ Required Probability = 2/6 = 1/3
Question 6
1 / -0

Ram and Shyam are friends. The probability that both will have the birthday on the same day is

A
2/365

B
1/365

C
364/365

D
4/365

Solution

Assuming a non-leap year

Ram can have the birthday on any day of the 365 days of the year

Shyam has a different birthday if his birthday is on any of the remaining 364 days of the year

Therefore P (Ram and Shyam have different birthdays) = 364 / 365

and so, P (Ram and Shyam have birthdays on the same day) = 1 - P(Ram and Shyam have different birthdays)

= 1 - 364/365

= 1/365
Question 7
1 / -0

A letter of English alphabets is chosen at random. The probability that the letter chosen is a consonant is

A
2/26

B
21/26

C
1/26

D
5/26

Solution

We have,
Number of vowels = 5 ( a e i o u)
Number of consonants = 21 ( 26 - 5 = 21 )
Number of possible outcomes = 21
Number of total outcomes = 26
∴ Required Probability = 21/26
Question 8
1 / -0

Cards marked with numbers 1, 2, 3, ……….., 25 are placed in a box and mixed thoroughly and one card is drawn at random from the box. The probability that the number on the card is a multiple of 3 or 5 is

A
12/25

B
1/5

C
4/25

D
8/25

Solution

Number of multiples of 3 = 8 ( 3 6 9 12 15 18 21 24)
Number of multiples of 5 = 5 ( 5 10 15 20 25)
Number of possible outcomes (multiples of 3 or 5) = 12 ( 3,5,6,9,10,12,15,18,20,21,24,25 )
Number of Total outcomes = 25
∴ Required Probability = 12/25
Question 9
1 / -0

A letter of English alphabets is chosen at random. The probability that the letter chosen is a vowel is

A
5/26

B
2/26

C
1/26

D
4/26

Solution

We know that "A , E , I , O , U" are vowels

Number of vowels = 5

Number of possible outcomes = 5
Number of total outcomes = 26
∴ Required Probability = 5/26
Question 10
1 / -0

Cards marked with numbers 1, 2, 3, ……….., 25 are placed in a box and mixed thoroughly and one card is drawn at random from the box. The probability that the number on the card is a multiple of 3 and 5 is

A
1/25

B
4/25

C
8/25

D
12/25

Solution

Multiples of 3 = 3 6 9 12 15 18 21 24

Multiples of 5 = 5 10 15 20 25
Number of possible outcomes (multiple of 3 and 5) = {15} = 1
Number of Total outcomes = 25
∴ Required Probability =1/25

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Re-Attempt Weekly Quiz Competition

Probability Test - 10

Result

Probability Test - 10

Score

-

Rank

-

SHARING IS CARING

Question 1

1/2

2/5

1/3

2/3

Solution

Question 2

4/13

3/13

2/13

6/13

Solution

Question 3

1/2

2/5

2/3

1/3

Solution

Question 4

6/52

4/52

2/52

1/52

Solution

Question 5

2/3

1/3

2/5

1/2

Solution

Question 6

2/365

1/365

364/365

4/365

Solution

Question 7

2/26

21/26

1/26

5/26

Solution

Question 8

12/25

1/5

4/25

8/25

Solution

Question 9

5/26

2/26

1/26

4/26

Solution

Question 10

1/25

4/25

8/25

12/25

Solution

User

Question Analysis

My Perfomance

Score

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Rank

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