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Gamma Question Bank for Engineering Mathematics>Chapter 21 - Probability>Assignment>Q 14

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A divisor of $N = 2^{5} 3^{4} 5^{3}$ is selected at random. The probability that selected number is divisible by $200$ if it is known that it is divisible by $100$ is

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Important Questions on Probability

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Gamma Question Bank for Engineering Mathematics>Chapter 21 - Probability>Assignment>Q 15

In a single throw of two dice what is the probability of obtaining a number greater than

7,

if

4

appears on the first dice

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Gamma Question Bank for Engineering Mathematics>Chapter 21 - Probability>Assignment>Q 16

Three coins are tossed. If one of them shows tail, then the probability that all three coins show tail, is

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Gamma Question Bank for Engineering Mathematics>Chapter 21 - Probability>Assignment>Q 17

Two cards are drawn one by one from a pack of cards. The probability of getting first card an ace and second honoured one is (before drawing second card first card is not placed again in the pack)

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Gamma Question Bank for Engineering Mathematics>Chapter 21 - Probability>Assignment>Q 18

For

k = 1,2, 3

the box

B_{k}

contains

k

red balls and

(k + 1)

white balls, Let

P (B_{1}) = \frac{1}{2}, P (B_{2}) = \frac{1}{3}

and

P (B_{3}) = \frac{1}{6}

A box is selected at random and a ball is drawn from it. If a red ball is drawn, then the probability that it has come from box

B_{2}

,is

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Gamma Question Bank for Engineering Mathematics>Chapter 21 - Probability>Assignment>Q 19

A box contains

N

coins,

m

of which are fair and the rest are biased. The probability of getting a head when a fair coin is tossed is

\frac{1}{2}

, while it is

\frac{2}{3}

when a biased coin is tossed. A coin drawn from the box at random and is tossed twice. Then, the probability that the coin drawn is fair, is

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Gamma Question Bank for Engineering Mathematics>Chapter 21 - Probability>Assignment>Q 20

8

coins are tossed simultaneously. The probability of getting at least

6

heads is

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Gamma Question Bank for Engineering Mathematics>Chapter 21 - Probability>Assignment>Q 21

In binomial probability distribution, mean is

3

and standard deviation is

\frac{3}{2}

. Then the value of

p

is

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Gamma Question Bank for Engineering Mathematics>Chapter 21 - Probability>Assignment>Q 22

The probability of a bomb hitting a bridge is

\frac{1}{2}

and two direct hits are needed to destroy it. The least number of bombs required so that the probability of the bridge being destroyed is greater than