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Probability Quiz

Total questions: 25

Worksheet time: 19mins

Name
Class
Date
1.

What is the probability that Challenging star Darshan's movie will be a success?

a)

1/4

b)

3/4

c)

1/2

d)

3/2

2.

If two events A & B are Independent then

a)

P(AB)=P(A).P(B)P\left(A\cup B\right)=P\left(A\right).P\left(B\right)  

b)

P(AB)=P(A).P(B)P\left(A\cap B\right)=P\left(A\right).P\left(B\right)  

c)

P(AB)=P(A)+P(B)P\left(A\cup B\right)=P\left(A\right)+P\left(B\right)  

d)

P(AB)=P(A)+P(B)P\left(A\cap B\right)=P\left(A\right)+P\left(B\right)  

3.

There are 38 contestants in a Beauty Contest. What is the Probability that Ashika Ranganath will get 1st or 2nd or 3rd rank?

a)

1/38

b)

4/38

c)

2/38

d)

3/38

4.

Which of the following is True?

a)

P(AB)=n(AB)n(B)P\left(A|B\right)=\frac{n\left(A\cup B\right)}{n\left(B\right)}  

b)

P(BA)=n(AB)n(A)P\left(B|A\right)=\frac{n\left(A\cup B\right)}{n\left(A\right)}  

c)

P(AB)=n(AB)n(B)P\left(A|B\right)=\frac{n\left(A\cap B\right)}{n\left(B\right)}  

d)

P(BA)=n(AB)n(B)P\left(B|A\right)=\frac{n\left(A\cap B\right)}{n\left(B\right)}  

5.

What is the Probability that lunch will be a Dog Biscuit?

a)

1/8

b)

7/8

c)

2/8

d)

3/8

6.

Formula used for Probability of occurance of Neither A nor B is asked?

a)

P(AB)=1P(AB)P(A\cup B)'=1-P\left(A\cup B\right)  

b)

P(AB)=1P(AB)P(A\cap B)'=1-P\left(A\cap B\right)  

c)

P(AB)=1P(AB)P(A\cup B)'=1-P\left(A\cap B\right)  

d)

P(AB)=1P(AB)P(A\cap B)'=1-P\left(A\cup B\right)  

7.

If you choose an answer to this question at random. What is the chance you will be correct?

a)

25%

b)

50%

c)

60%

d)

25%

8.

If P(A)=P(B) P\left(A\right)=P\left(B\right)\  then

a)

A & B are same events

b)

A & B must be same events

c)

A & B may be different events

d)

A & B are mutually exclusive events

9.
a)

1/52

b)

13/52

c)

26/52

d)

1

10.

If P(AB)=0P\left(A\cap B\right)=0  then the 2 events A & B are

a)

Mutually exclusive

b)

Exhaustive

c)

Equally likely

d)

Independent

11.
a)

1/52

b)

13/52

c)

26/52

d)

1

12.

If two events A & B are mutually exclusive then

a)

They are always Independent

b)

They may be Independent

c)

They can't be Independent

d)

They can't be equally likely

13.
a)

3/8

b)

6/8

c)

1/2

d)

1/8

14.

P(BA) P\left(B|A\right)\  is defined only when

a)

A is sure event

b)

B is sure event

c)

A is not an impossible event

d)

B is an impossible event

15.
a)

1/7

b)

2/7

c)

3/7

d)

4/7

16.

If A & B are mutually exclusive events then

a)

P(A)=P(AB)P\left(A\right)=P\left(A-B\right)  

b)

P(B)=P(AB)P\left(B\right)=P\left(A-B\right)  

c)

P(A)=P(AB)P\left(A\right)=P\left(A\cap B\right)  

d)

P(B)=P(AB)P\left(B\right)=P\left(A\cap B\right)  

17.
a)

1/20

b)

2/9

c)

4/9

d)

2/20

18.

Expected value of a random variable

a)

is always positive

b)

may be positive or negative

c)

may be positive or negative or zero

d)

can never be zero

19.

If 2 random variables x & y are related by y=23xy=2-3x  , then SD of y is given by

a)

3×SD of x-3\times SD\ of\ x  

b)

3×SD of x3\times SD\ of\ x  

c)

9×SD of x9\times SD\ of\ x  

d)

2×SD of x2\times SD\ of\ x  

20.

If A, B, & C are 3 mutually independent events with probabilities 0.3, 0.2 & 0.4 respectively. What is P(ABC)P\left(A\cap B\cap C\right)  

a)

0.4

b)

0.24

c)

0.024

d)

0.5

21.

If x & y are random variables having expected values as 4.5 & 2.5 respectively then the expected value of (xy)\left(x-y\right)  

a)

2

b)

7

c)

6

d)

0

22.

If variance of random variable x is 23 then what is the variance of 2x+102x+10  

a)

56

b)

33

c)

46

d)

92

23.
a)

-10%

b)

40%

c)

60%

d)

500%

24.

Probability of getting a head when two unbiased coins are tossed simultaneously?

a)

0.25

b)

0.5

c)

0.2

d)

0.75

25.

If an unbiased coin is tossed twice, the probability of obtaining at least one tail is?

a)

0.25

b)

0.5

c)

0.75

d)

1