Pathfinder NDA / NA National Defence Academy and Naval Academy Entrance Examination Mathematics>Chapter 32 - Probability>Practice Exercise>Q 74

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IMPORTANT

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Two similar boxes $B_{i} (i = 1, 2)$ contain $(i + 1)$ red and $(5 - i - 1)$ black balls. One box is chosen at random and two balls are drawn randomly. What is the probability that both the balls are of different colours?

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Important Questions on Probability

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IMPORTANT

Pathfinder NDA / NA National Defence Academy and Naval Academy Entrance Examination Mathematics>Chapter 32 - Probability>Practice Exercise>Q 75

The mean and the variance in a binomial distribution are found to be

2

and

1

, respectively. The probability

P (X = 0)

is

EASY

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IMPORTANT

Pathfinder NDA / NA National Defence Academy and Naval Academy Entrance Examination Mathematics>Chapter 32 - Probability>Practice Exercise>Q 76

If

A

and

B

are two events such that

P (A \cup B) = \frac{3}{4}, P (A \cap B) = \frac{1}{4}

and

P (\bar{A}) = \frac{2}{3}

, then what is

P (B)

equal to?

EASY

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IMPORTANT

Pathfinder NDA / NA National Defence Academy and Naval Academy Entrance Examination Mathematics>Chapter 32 - Probability>Practice Exercise>Q 77

In throwing of two dice, the number of exhaustive events that

5

will never appear on any one of the dice is

EASY

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IMPORTANT

Pathfinder NDA / NA National Defence Academy and Naval Academy Entrance Examination Mathematics>Chapter 32 - Probability>Practice Exercise>Q 78

Two men hit at a target with probabilities

\frac{1}{2}

and

\frac{1}{3}

, respectively. What is the probability that exactly one of them hits the target?

EASY

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IMPORTANT

Pathfinder NDA / NA National Defence Academy and Naval Academy Entrance Examination Mathematics>Chapter 32 - Probability>Practice Exercise>Q 79

If

A \subseteq B,

then which one of the following is not correct?

EASY

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IMPORTANT

Pathfinder NDA / NA National Defence Academy and Naval Academy Entrance Examination Mathematics>Chapter 32 - Probability>Practice Exercise>Q 80

In an examination, the probability of a candidate solving a question is

\frac{1}{2} .

Out of given

5

questions in the examination, what is the probability that the candidate was able to solve at least

2

questions?

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IMPORTANT

Pathfinder NDA / NA National Defence Academy and Naval Academy Entrance Examination Mathematics>Chapter 32 - Probability>Practice Exercise>Q 81

If

x \in [0, 5]

, then what is the probability that

x^{2} - 3 x + 2 \geq 0

?

EASY

NDA & NA EE

IMPORTANT

Pathfinder NDA / NA National Defence Academy and Naval Academy Entrance Examination Mathematics>Chapter 32 - Probability>Practice Exercise>Q 82

Three digits are chosen at random from

1, 2, 3, 4, 5, 6, 7, 8

and

9

without repeating any digit. What is the probability that the product is odd?