Probability Test

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Probability Test - 12

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Weekly Quiz Competition

Question 1
1 / -0

Which of the following can't be the probability of an event?

A
5%

B
17/16

C
1/3

D
0.1

Solution

17/16 cannot be the probability of an event because probability of an event cannot be greater than 1
Question 2
1 / -0

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

A
1− 1/p

B
p

C
1 – p

D
p – 1

Solution

If the probability of an event is p, the probability of its complementary event will be 1 - p. because we know that the sum of probability of an event and its complementary event is always 1.
Hence, p + 1 - p = 1
Question 3
1 / -0

A child’s game has 8 triangles of which 5 are blue and rest are red and 10 squares of which 6 are blue and the rest are red. One piece is lost at random. The probability that it is a square of blue colour is

A
6/10

B
2/3

C
1/3

D
4/9

Solution

Total number of pieces = 8 triangles + 10 squares = 18
Number of blue squares = 6
Number of possible outcomes = 6
Number of total outcomes = 8 + 10 = 18
∴ Required Probability = 6/18 = 1/3
Question 4
1 / -0

A bag contains 50 balls of which 2x are red, 3x are white and 5x are blue. A ball is selected at random. The probability that it is not white is

A
7/10

B
2/5

C
3/5

D
7/45

Solution

Here,
2x + 3x + 5x = 50 ⇒ 10x=50 ⇒ x=5
Number of red balls = 2 × 5 = 10
Number of white balls = 3 × 5 = 15
Number of blue balls = 5 × 5 = 25
Now, Number of possible outcomes = 25 + 10 = 35
And Number of total outcomes = 50 ∴ Required Probability = 35/50=7/10
Question 5
1 / -0

The probability of getting a sum of 13 in a single throw of two dice is

A
1

B
0

C
1/6

D
5/6

Solution

Elementary events are
(1, 1), (1, 2), (1, 3), (1, 4), (1, 5), (1, 6)
(2, 1), (2, 2), (2, 3), (2, 4), (2, 5), (2, 6)
(3, 1), (3, 2), (3, 3), (3, 4), (3, 5), (3, 6)
(4, 1), (4, 2), (4, 3), (4, 4), (4, 5), (4, 6)
(5, 1), (5, 2), (5, 3), (5, 4), (5, 5), (5, 6)
(6, 1), (6, 2), (6, 3), (6, 4), (6, 5), (6, 6)
∴ Number of Total outcomes = 36
And Number of possible outcomes (sum of numbers appearing on die is 13) = 0
∴ Required Probability =0/36=0
Question 6
1 / -0

A number ‘x’ is chosen at random from the numbers -4, -3, -2, -1, 0, 1, 2, 3, 4, 5. The probability that ׀x|< 3 is

A
7/10

B
1/2

C
1

D
0

Solution

Number of total outcomes = 10
Number of possible outcomes = {−2,−1,0,1,2} = 5
∴ Required Probability = 5/10=1/2
Question 7
1 / -0

Three coins are tossed once. The probability of getting two heads is

A
5/8

B
3/8

C
1/4

D
1/8

Solution

Total outcomes = {HHH, TTT, HHT, HTH, HTT, THH, THT, TTH} = 8
Number of possible outcomes = 3
∴ Required Probability = 3/8
Question 8
1 / -0

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

A
0.00001

B
0.0001

C
1

D
0.1

Solution

An event is unlikely to happen. Its probability is very very close to zero but not zero, So it is equal to 0.00001

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Re-Attempt Weekly Quiz Competition

Probability Test - 12

Result

Probability Test - 12

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SHARING IS CARING

Question 1

5%

17/16

1/3

0.1

Solution

Question 2

1− 1/p

p

1 – p

p – 1

Solution

Question 3

6/10

2/3

1/3

4/9

Solution

Question 4

7/10

2/5

3/5

7/45

Solution

Question 5

1

0

1/6

5/6

Solution

Question 6

7/10

1/2

1

0

Solution

Question 7

5/8

3/8

1/4

1/8

Solution

Question 8

0.00001

0.0001

1

0.1

Solution

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