NDA 2019 Paper 1 | Probability Question 82 | Mathematics

A problem is given to three students A, B and C whose probabilities of solving the problem are $${1 \over 2},{3 \over 4}$$ and $${1 \over 4}$$ respectively. What is the probability that the problem will be solved if they all solve the problem independently?

$${{29} \over {32}}$$

$${{27} \over {32}}$$

$${{25} \over {32}}$$

$${{23} \over {32}}$$

NDA 2019 Paper 1

MCQ (Single Correct Answer)

+2.5

-0.83

A pair of fair dice is rolled. What is the probability that the second dice lands on a higher value than does the first?

$${{1} \over {4}}$$

$${{1} \over {6}}$$

$${{5} \over {12}}$$

$${{5} \over {18}}$$

NDA 2019 Paper 1

MCQ (Single Correct Answer)

+2.5

-0.83

A fair coin is tossed and an unbiased dice is rolled together. What is the probability of getting a 2 or 4 or 6 along with head?

$${1 \over 2}$$

$${1 \over 3}$$

$${1 \over 4}$$

$${1 \over 6}$$

NDA 2019 Paper 1

MCQ (Single Correct Answer)

+2.5

-0.83

If A, B and C are three events, then what is the probability that at least two of these events occur together?

P(A $$\cap$$ B) + P(B $$\cap$$ C) + P(C $$\cap$$ A)

P(A $$\cap$$ B) + P(B $$\cap$$ C) + P(C $$\cap$$ A) $$-$$ P(A $$\cap$$ B $$\cap$$ C)

P(A $$\cap$$ B) + P(B $$\cap$$ C) + P(C $$\cap$$ A) $$-$$ 2P(A $$\cap$$ B $$\cap$$ C)

P(A $$\cap$$ B) + P(B $$\cap$$ C) + P(C $$\cap$$ A) $$-$$ 3P(A $$\cap$$ B $$\cap$$ C)

PREVIOUS NEXT

NDA Subjects

English

Reading Comprehension Synonyms Antonyms Cloze Rearranging Sentences in a Paragraph Idioms and Phrases Word Classes Sentence Completion Improvement of Sentence

General Science

Physics Chemistry Biology

General Studies

Polity Geography History Economy General Knowledge