Probability Multiple Choice Questions and answers (mcqs)

 1- Any particular performance of random experiment is called as:

(A) Trial (B) Sample Space

Option (A) is correct.

2- In S = { 1,2,3,4,5,6} ;  1,2,3,4,5,6 are:

(A) Outcomes (B) Events

Option (A) is correct.

Note: 1,2,3,4,5,6 are the results of random experiment which are called outcomes.

3- Simple Event always have _ outcomes:?

(A) triple outcomes (B) single outcome

Option (B) is correct.

Note: Suppose, A = {1} which have a single outcome is defined as simple event. But, If we suppose, A = {1,2} then set A is defined as Compound event because it has more than 1 outcomes.

4- Exhaustive Events is defined as:

(A) A U B = S (B) AB = S

Option (A) is correct.

Note: The Union of two events A & B is equal to Sample Space 'S' is defined as Exhaustive Events.

5- The Sum of Probability never exceeds:

(A) 2 (B) 1

Option (B) is correct.

6- Given A = { 1,2 }, B = { 4,5,6 } ; A and B are called:

(A) Equally Likely Events (B) Mutually Exclusive Events

Option (B) is correct.

Note: Let's suppose, A = {1,2} , B = {4,5,6}. You can check that both have no common points. So, must remember that The Events A and B which have no common points are called as Mutually Exclusive Events.

But, Let's suppose , A = {2,4,5} and B ={4,5,6} ; Both have common points. So, must remember that The Events which have common points are called as Equally Likely Events.

7- Probability of Sample Space; P(S) = : ?

(A) 1 (B) 0

Option (A) is correct.

Note: Suppose that A = {4,6,2,3,1,5}, For one Dice, S = {1,2,3,4,5,6}, P(S) = number in A/number in Sample Space , that is; P(S) = n(A)/n(S)= 6/6 = 1.

8- Given ; A = {7,8,9} , S = {1,2,3,4,5,6}; P(A) =: ?

(A) 2/3 (B) 1/2

Option (B) is correct.

Note: P(A) = n(A)/n(S) = 3/6 = 1/2.

9- If A and B are independent then P(A intersection B) =: ?

(A) P(A) . P(B) (B) P(A) + P(B)

Option (A) is correct.

10- In Independent Events, drawing is done: ?

(A) Without Replacement (B) With Replacement 

Option (B) is correct.

Note: But, In Dependent Events, drawing is done Without Replacement.

11- Permutation is always in:

(A) Ordered (B) Disordered

Option (A) is correct.

Note: But, Combination is Disordered.

12- If A and B are Mutually Exclusive , then P(A U B)=: ?

(A) P(A) + P(B) (B) P(A) . P(B)

Option (A) is correct.

13- Poker hand shows:

(A) cards (B) Drawn Cards

Option (B) is correct.

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