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In a series of 3 independent trials the probability of exactly 2 success is 12 times as large as the probability of 3 successes. The probability of a success in each trial is

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Important Questions on Probability

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Alpha Question Bank for Engineering: Mathematics>Chapter 10 - Probability>Exercise-1>Q 60
A coin is tossed n times, what is the chance that the head will present itself an odd number of times.
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Alpha Question Bank for Engineering: Mathematics>Chapter 10 - Probability>Exercise-1>Q 61
From a bag containing 2 one rupee and 3 two rupee coins. A person is allowed to draw 2 coins randomly, then the value of his expectation.
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Alpha Question Bank for Engineering: Mathematics>Chapter 10 - Probability>Exercise-1>Q 62
A & B throw with one dice for a stake of Rs. 99/- which is to be won by the player who first throws 4. If A has the first throw then their respective expectations of rupees are:
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Alpha Question Bank for Engineering: Mathematics>Chapter 10 - Probability>Exercise-1>Q 63
A fair coin is tossed 99 times. If X is the number of times heads occur, if P(X=r) is maximum then sum of possible values of r is
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Alpha Question Bank for Engineering: Mathematics>Chapter 10 - Probability>Exercise-2>Q 1

Three cards are drawn at random from a pack of well shuffled 52 cards. Find the probability that one is a king, the other is a queen and the third a jack.

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Alpha Question Bank for Engineering: Mathematics>Chapter 10 - Probability>Exercise-2>Q 2
A local post office is to send M telegrams which are distributed at random over N communication channels, N>M. Each telegram is sent over any channel with equal probability. Chance that not more than one telegram will be sent over each channel is
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Alpha Question Bank for Engineering: Mathematics>Chapter 10 - Probability>Exercise-2>Q 3
A cube painted red on all sides, is cut into 125 equal small cubes. A small cube when picked up is found to show red colour on one of its faces. Then the probability that two more faces also show red colour.
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Alpha Question Bank for Engineering: Mathematics>Chapter 10 - Probability>Exercise-2>Q 4
A car is parked by an owner in a parking lot of 25 cars in a row, including his car not at either end. On his return he finds that exactly 15 placed are still occupied. The probability that both the neighboring places are empty is