1
NDA Mathematics 14th September 2025
MCQ (Single Correct Answer)
+2.5
-0.833
Change Language

An event X can happen with probability pand event Y can happen with probability q. Further, X and Y are independent events. Which of the following statements is/are correct?

1. The probability that exactly one of the events happens is p + q - pq

II. The probability that at least one of the events happens is p + q - 2pq

Select the answer using the code given below.

1
 I only
2
II only
3
Both I and II
4
Neither I nor II
2
NDA Mathematics 14th September 2025
MCQ (Single Correct Answer)
+2.5
-0.833
Change Language
Three faces of a die are black, two faces are white and one face is red. The die is tossed three times. What is the probability that the colours black, white and red appear in the first, second and third tosses respectively?
1
1/36
2
1/6
3
7/36
4
5/36
3
NDA Mathematics 14th September 2025
MCQ (Single Correct Answer)
+2.5
-0.833
Change Language
A fair coin is tossed 4 times. What is the probability that two heads do not occur consecutively?
1
1/8
2
3/8
3
7/16
4
1/2
4
NDA Mathematics 14th September 2025
MCQ (Single Correct Answer)
+2.5
-0.833
Change Language
In a throw of three dice, what is the probability of getting one prime number, one composite number and one number which is neither prime nor composite?
1
1/2
2
1/3
3
1/4
4
 1/6