NDA 2017 Paper 1 | Probability Question 47 | Mathematics

A question is given to three students A, B and C whose chances of solving it are $${1 \over 2}$$, $${1 \over 3}$$ and $${1 \over 4}$$ respectively. What is the probability that the question will be solved?

$${1 \over 24}$$

$${1 \over 4}$$

$${3 \over 4}$$

$${23 \over 24}$$

NDA 2017 Paper 1

MCQ (Single Correct Answer)

+2.5

-0.83

For two dependent events A and B, it is given that P(A) = 0.2 and P(B) = 0.5. If A $$ \subseteq $$ B, then the values of conditional probabilities P(A / B) and P(B / A) are respectively

$${2 \over 5}$$, $${3 \over 5}$$

$${2 \over 5}$$, 1

1, $${2 \over 5}$$

Information is insufficient

NDA 2017 Paper 1

MCQ (Single Correct Answer)

+2.5

-0.83

A card is drawn from a well-shuffled ordinary deck of 52 cards. What is the probability that it is an ace?

$${1 \over {13}}$$

$${2 \over {13}}$$

$${3 \over {13}}$$

$${1 \over {52}}$$

NDA 2017 Paper 1

MCQ (Single Correct Answer)

+2.5

-0.83

Consider the following statements :

1. Two events are mutually exclusive if the occurrence of one event prevents the occurrence of the other.

2. The probability of the union of two mutually exclusive events is the sum of their individual probabilities.

Which of the above statement is/are correct?

Only 1

Only 2

Both 1 and 2

Neither 1 nor 2

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