Specify the sample space in the following mathematical experime
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    Probability

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    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.

    Solution not provided.
    Ans. S = {RB, RW, BR, BW, WR, WB}

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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.
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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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