Probability Test

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Probability Test - 16

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Weekly Quiz Competition

Question 1
1 / -0

If an even that cannot occur, then its probability is

A
1

B
3/4

C
1/2

D
0

Solution

An event that cannot occur has 0 probability, such an event is called impossible event.

Hence, (d) is the correct answer
Question 2
1 / -0

Which of the following cannot be the probability of an event?

A
1/3

B
0.1

C
3%

D
17/16

Solution

Probability of any event cannot be more than one or negative as 17/16 > 1

Hence, verifies the option (d)
Question 3
1 / -0

An event is very unlikely to happen. Its probability is closest to

A
0.0001

B
0.001

C
0.01

D
0.1

Solution

The probability of the event which is very unlikely to happen will be very close to zero. So it's probability is 0.0001 which is minimum among the given values.

Hence, verifies the option (a)
Question 4
1 / -0

If the probability of an event is p, then the probability of its complementary event will be

A
p–1

B
p

C
1–p

D
1− 1/p

Solution

Probability of an event + Probability of its complementary event = 1

∴ p + Probability of complement = 1

or Probability of complement = 1 – p

Hence, verifies the option (c)
Question 5
1 / -0

The probability expressed as a percentage of a particular occurrence can never be

A
Less than 100

B
Less than 0

C
Greater than 1

D
Anything but a whole number

Solution

∵ Probability lies between 0 and 1 and when it is converted into percentage it will be between 0 and 100. So, cannot be negative.

So, verifies the option (b).
Question 6
1 / -0

If P(A) denotes the probability of an event A, then

A
P(A) < 0

B
P(A) > 1

C
0 ≤ P(A) ≤ 1

D
−1 ≤ P(A) ≤ 1

Solution

As the probability of an event can be between 0 and 1. Hence, verifies the option (c)
Question 7
1 / -0

If a card is selected from a deck of 52 cards, then the probability of its being a red face card is

A
3/26

B
3/13

C
2/13

D
1/2

Solution

In a deck of 52 cards, there are 26 red cards.

Number of red face cards = 3 of hearts + 3 of diamonds = 6

So, probability of having a red face card = 6/52 = 3/26

Hence, verifies the option (a)
Question 8
1 / -0

A card is drawn from a deck of 52 cards. The event E is that card is not an ace of hearts. The number of outcomes favourable to E is

A
4

B
13

C
48

D
51

Solution

Favourable event E is all cards except the ace of heart and ace of heart is only one. Hence, the number of outcomes favourable for event E are 52 – 1 = 51, verifies the option (d).
Question 9
1 / -0

A school has five houses, A B, C, D and E. A class has 23 students, 4 from house A, 8 from house B, 5 from house C, 2 from house D and rest from house E. A single student is selected at random to be the class monitor. The probability that the selected student is not from A, B and C is

A
4/23

B
6/23

C
8/23

D
17/23

Solution

T(E) = 23

F(E) = not from A, B, C i.e. = 23 – (4 + 8 + 5)

F(E) = 23 – 17 = 6

∴ P(F) = 6/23

verifies the option (b)

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Re-Attempt Weekly Quiz Competition

Probability Test - 16

Result

Probability Test - 16

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SHARING IS CARING

Question 1

1

3/4

1/2

0

Solution

Question 2

1/3

0.1

3%

17/16

Solution

Question 3

0.0001

0.001

0.01

0.1

Solution

Question 4

p–1

p

1–p

1− 1/p

Solution

Question 5

Less than 100

Less than 0

Greater than 1

Anything but a whole number

Solution

Question 6

P(A) < 0

P(A) > 1

0 ≤ P(A) ≤ 1

−1 ≤ P(A) ≤ 1

Solution

Question 7

3/26

3/13

2/13

1/2

Solution

Question 8

4

13

48

51

Solution

Question 9

4/23

6/23

8/23

17/23

Solution

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