Probability Test

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Probability Test - 7

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Weekly Quiz Competition

Question 1
1 / -0

If ‘p’ is the probability of an event, then p satisfies

A
0 < p < 1

B
0⩽p<1

C
0<p⩽1

D
0≤p≤1

Solution

Probability of an event always lie between 0 and 1
Question 2
1 / -0

A bag contains 5 black balls, 4 white balls and 3 red balls. If a ball is selected at random, the probability that it is not red is

A
1/2

B
5/12

C
3/4

D
3/12

Solution

Numbers of balls which are not red = 12 – 3 = 9
Number of possible outcomes = 9
Number of Total outcomes = 12
Required Probability = 9/12=3/4
Question 3
1 / -0

Two dice are thrown simultaneously. The probability of getting a doublet is

A
1/6

B
2/3

C
1/2

D
1/36

Solution

Doublet means getting same number on both dice simultaneously
Doublets = (1, 1), (2, 2), (3, 3), (4, 4), (5, 5), (6, 6)
Number of possible outcomes = 6
Total number of ways to throw a dice = 36
Probability of getting a doublet = 6/36=1/6
Question 4
1 / -0

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

A
5/6

B
1

C
1/2

D
1/6

Solution

prime numbers on a die are 2 , 3, 5
composite numbers on a die are 4 , 6
Prime and Composite numbers on a die = 2, 3, 4, 5, 6
Number of possible outcomes = 5
Number of Total outcomes = 6
Required Probability =5/6
Question 5
1 / -0

The probability of getting 3 head or 3 tails in tossing a coin 3 times is

A
1/4

B
3/8

C
1/8

D
1/2

Solution

Total outcomes = {HHH, HHT, HTH, HTT, THH, THT, TTH, TTT) = 8
Number of possible outcomes = (HHH) or (TTT) = 2
Required Probability = 2/8=1/4
Question 6
1 / -0

The probability that a leap year will have 53 Sundays or 53 Mondays is

A
1/7

B
4/7

C
2/7

D
3/7

Solution

Leap year contains 366 days = 52 weeks + 2 days
52 weeks contain 52 Sundays and 52 weeks contain 52 Mondays
We will get 53 Sundays or 53 Mondays if one of the remaining two days is a Sunday or Monday Total possibilities for two days are:
(Sunday, Monday), (Monday, Tuesday), (Tuesday, Wednesday), (Wednesday, Thursday), (Thursday, Friday), (Friday, Saturday), (Saturday, Sunday)
Number of Total possible outcomes = 7
Number of possible outcomes either Sunday or Monday or Both = 3
Required Probability = 3/7
Question 7
1 / -0

The probability that a non leap year will have 53 Fridays and 53 Saturdays is

A
1/7

B
2/7

C
3/7

D
0

Solution

Non-leap year contains 366 days = 52 weeks + 1 day
52 weeks contain 52 Fridays and 52 weeks contain 52 Saturdays
We will get 53 Fridays or 53 Saturdays if remaining one day is a Friday and Saturday
Therefore, Total possibility is zero.
Number of Total possible outcomes = 7
Number of possible outcomes Friday and Saturday = 0
Required Probability = 0/7=0
Question 8
1 / -0

The probability of selecting a queen of diamonds when a card is drawn from well shuffled pack of 52 cards is

A
1/26

B
1/13

C
16/52

D
1/52

Solution

Number of possible outcomes (queen of diamonds) = 1
Number of Total outcomes = 52
Required Probability = 1/52
Question 9
1 / -0

A card is drawn from a pack of 52 cards at random. The probability of getting neither an ace nor a king card is

A
4/13

B
8/13

C
11/13

D
2/13

Solution

Number of Total outcomes = 52
Number of aces and Number of kings = 4 + 4 = 8
Number of cards except ace and king = 52 – 8 = 44
Required Probability = 44/52=11/13
Question 10
1 / -0

A card is drawn from a pack of 52 cards at random. The probability of getting either an ace or a king card is

A
3/13

B
8/13

C
2/13

D
4/13

Solution

Number of Total outcomes = 52
Number of aces and Number of kings = 4 + 4 = 8
Required Probability = 8/52=2/13

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Re-Attempt Weekly Quiz Competition

Probability Test - 7

Result

Probability Test - 7

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Rank

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SHARING IS CARING

Question 1

0 < p < 1

0⩽p<1

0<p⩽1

0≤p≤1

Solution

Question 2

1/2

5/12

3/4

3/12

Solution

Question 3

1/6

2/3

1/2

1/36

Solution

Question 4

5/6

1

1/2

1/6

Solution

Question 5

1/4

3/8

1/8

1/2

Solution

Question 6

1/7

4/7

2/7

3/7

Solution

Question 7

1/7

2/7

3/7

0

Solution

Question 8

1/26

1/13

16/52

1/52

Solution

Question 9

4/13

8/13

11/13

2/13

Solution

Question 10

3/13

8/13

2/13

4/13

Solution

User

Question Analysis

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Score

-

Rank

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