Alpha Question Bank for Engineering: Mathematics>Chapter 10 - Probability>Exercise-2>Q 45

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If $4$ whole numbers taken at random are multiplied together, then

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Important Questions on Probability

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Alpha Question Bank for Engineering: Mathematics>Chapter 10 - Probability>Exercise-2>Q 46

The probability that

4^{th}

power of a positive integer ends in the digit

λ

is

P (λ)

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Alpha Question Bank for Engineering: Mathematics>Chapter 10 - Probability>Exercise-2>Q 47

Mean and variance of a Binomial variate of

10

trials of the experiment are in the ratio of

3 : 2

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Alpha Question Bank for Engineering: Mathematics>Chapter 10 - Probability>Exercise-2>Q 48

A student appears for tests

I, II & III

. The student is successful if he passes either in tests

I & II

or tests

I & III

. The probabilities of the student passing in the tests

I, II & III

are

p, q & \frac{1}{2}

, respectively. If the probability that the student is successful is

\frac{1}{2},

then

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Alpha Question Bank for Engineering: Mathematics>Chapter 10 - Probability>Exercise-2>Q 49

A student has to match three historical events i.e. Dandi March, Quit India Movement and Mahatma Gandhi's assassination with the years

1948, 1930

and

1942

and each event happens in different years. The student has no knowledge of the correct answers and decides to match the events and years randomly. Let

E_{1} : (0 \leq i \leq 3)

denote the event that the student gets exactly

i

correct answer, then

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Alpha Question Bank for Engineering: Mathematics>Chapter 10 - Probability>Exercise-2>Q 50

For any two events

A & B

defined on a sample space,

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Alpha Question Bank for Engineering: Mathematics>Chapter 10 - Probability>Exercise-2>Q 51

An unbiased coin is tossed

n

times. Let

X

denote the number of times head occurs. If

P (X = 4), P (X = 5)

and

P (X = 6)

are in

AP,

then the value of

n

can be

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Alpha Question Bank for Engineering: Mathematics>Chapter 10 - Probability>Exercise-2>Q 52

A random variable

x

takes values

0, 1, 2, 3, \dots \dots,

with probability proportional to

(x + 1) {(\frac{1}{5})}^{x}

, then

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Alpha Question Bank for Engineering: Mathematics>Chapter 10 - Probability>Exercise-2>Q 53

A square matrix of order

3 \times 3

is formed using the elements of the set

\{- 2016, 0, 2016\}