1
NDA Mathematics 1st September 2024
MCQ (Single Correct Answer)
+2.5
-0.833
Change Language
A natural number x is chosen at random from the first 100 natural numbers. What is the probability that x2 + x > 50?
1
93/100
2
47/50
3
24/25
4
23/25
2
NDA Mathematics 1st September 2024
MCQ (Single Correct Answer)
+2.5
-0.833
Change Language
A fair coin is tossed till two heads occur in succession. What is the probability that the number of tosses required is less than 6?  
1
5/64
2
15/32
3
31/64
4
19/32
3
NDA Mathematics 1st September 2024
MCQ (Single Correct Answer)
+2.5
-0.833
Change Language
Urn A contains 2 white and 2 black balls while urn B contains 3 white and 2 black balls. One ball is transferred from urn A to urn B and then a ball is drawn out of urn B. What is the probability that the ball is white?
1
11/20
2
7/12
3
3/5
4
1
4
NDA Mathematics 1st September 2024
MCQ (Single Correct Answer)
+2.5
-0.833
Change Language

For two events A and  B, P(A) = P(A|B) = 0.25 and P(BIA) = 0.5. Which of the following are correct?

I. A and B are independent.

II. P(Ac ∪ Bc) = 0.875

III. P(Ac ∩ Bc) = 0.375

Select the answer using the code given below.

1
I and II only
2
II and III only
3
I and III only
4
I, II and III
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