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Probability

Short Answer Type

571. Specify the sample space in the following mathematical experiment:
A bag contains 1 red, 1 blue and 1 white ball. One ball is drawn and is not replaced, then another ball is drawn.

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572. Specify the sample space in the following mathematical experiment:
A die is rolled. If a prime number appears, coin is tossed. If it is not a prime, a ball is drawn from a bag containing 1 red, 1blue and 1 white ball.

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573. Specify the sample space in the following mathematical experiment:
Box X contains 1 silver and 3 copper coins and box Y contains 2 silver and 2 copper coins. For the experiment a box is selected and then a coin is selected from it.

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574. Specify the sample space in the following mathematical experiment:
3 eggs are selected randomly from a lot. Each egg is tested and classified as fresh (F) or rotten (R).

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575. Specify the sample space in the following mathematical experiment:
One coin is tossed. If it is a tail, a die is rolled and if the die shows an even number, a coin is tossed again.

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576. A lady has a ten rupees note (T), a fifty rupees note (F) and a hundred rupees note (H) in her purse. She takes out one note from the purse and if it not a hundred rupees note, she keeps it back. The experiment is repeated until she gets a hundred rupees note.

Solution not provided.
Ans. {H, TH, FH, TTH, TFH, FTH, FFH, .......}

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577.

A lot consists of 12 good pencils, 6 with minor defects and 2 with major defects. A pencil is chosen at random. Find the probability that the pencil does not have:
(a) any defect (b) major defect

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578. A letter is selected from the word ‘PROBABILITY’. Find the probability, that it is a vowel.

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579. Two dice are tossed simultaneously. Find the probability of getting a multiple of 2 on one die and a multiple of 3 on the other.

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580. Two dice are tossed and the number appearing on them is noted. Find the probability that the sum of the two numbers appearing on them is not a prime number.

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