NDA 2019 Paper 2 | Probability Question 74 | Mathematics

The mean weight of 150 students in a certain class is 60 kg. The mean weight of boys is 70 kg and that of girls is 55 kg. What are the number of boys and girls respectively in the class?

75 and 75

50 and 100

70 and 80

100 and 50

NDA 2019 Paper 2

MCQ (Single Correct Answer)

+2.5

-0.83

If a fair die is rolled 4 times, then what is the probability that there are exactly 2 sixes ?

$${5 \over {216}}$$

$${25 \over {216}}$$

$${125 \over {216}}$$

$${175 \over {216}}$$

NDA 2019 Paper 2

MCQ (Single Correct Answer)

+2.5

-0.83

Consider the following statements :

1. If A and B are mutually exclusive events, then it is possible that P(A) = P(B) = 0.6

2. If A and B are any two events such that P(A / B) = 1, then P($$\overline B $$ / $$\overline A $$) = 1.

Which of the above statement is/are correct?

Only 1

Only 2

Both 1 and 2

Neither 1 nor 2

NDA 2019 Paper 2

MCQ (Single Correct Answer)

+2.5

-0.83

There are 3 coins in a box. One is a two-headed coin; another is a fair coin; and third is biased coin that comes up heads 75% of time. When one of the three coins is selected at random and flipped, it shows heads. What is the probability that it was the two-headed coin?

$${2 \over 9}$$

$${1 \over 3}$$

$${4 \over 9}$$

$${5 \over 9}$$

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