1
NDA Mathematics 14th September 2025
MCQ (Single Correct Answer)
+2.5
-0.833
The probability that a student passes Physics test is 2/3 and the probability that he passes both Physics test and English test is 11/15. The probability that he passes at least one test is 4/5 What is the probability that he passes English test?
2
NDA Mathematics 14th September 2025
MCQ (Single Correct Answer)
+2.5
-0.833
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.
3
NDA Mathematics 14th September 2025
MCQ (Single Correct Answer)
+2.5
-0.833
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?
4
NDA Mathematics 14th September 2025
MCQ (Single Correct Answer)
+2.5
-0.833
A fair coin is tossed 4 times. What is the probability that two heads do not occur consecutively?
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