A pair of dice is thrown 6 times. If getting a total of 9 is con
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    Probability

    Multiple Choice QuestionsShort Answer Type

    1021. The probability that a bulb produced by a factory will fuse after 150 days of use is 0·05. Find the probability that out of 5 such bulbs more than one will fuse after 150 days of use.
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    1022. The probability that a bulb produced by a factory will fuse after 150 days of use is 0·05. Find the probability that out of 5 such bulbs at least one will fuse after 150 days of use.
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    1023. The probability that a bulb produced by a factory will fuse after 150 days of use is 0·05. Find the probability that out of 5 such bulbs none will fuse after 150 days of use.
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    1024. The probabilities that a bulb produced by a factory will fuse after 160 days is 0·06. Find the probability that out of 5 such bulbs, at the most one bulb will fuse after 160 days of use.
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    1025. In four throws with a pair of dice, what is the probability of throwing doublets at least twice?
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    1026. A pair of dice is thrown 6 times. If getting a total of 9 is considered a success, what is the probability of at least 5 successes?

    A pair of dice is thrown. Therefore various outcomes are

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     ∴ total number of outcomes = 36
    Favorable outcomes are 36, 45, 54 and 63.
    ∴ number of favorable outcomes = 4
    therefore space space space space straight p space equals space 4 over 36 minus 1 over 9 comma space space space straight q space equals space 1 space minus space straight q space equals space 1 space minus space 1 over 9 space equals space 8 over 9 Also space straight n space equals space 6 straight P left parenthesis at space least space 5 space successes right parenthesis space equals space straight P left parenthesis 5 right parenthesis space plus space straight P left parenthesis 6 right parenthesis space space space space space space space space space space space space space space space space equals space straight C presuperscript 6 subscript 5 open parentheses 8 over 9 close parentheses to the power of 6 minus 5 end exponent space open parentheses 1 over 9 close parentheses to the power of 5 plus straight C presuperscript 6 subscript 6 space open parentheses 8 over 9 close parentheses to the power of 6 minus 6 end exponent space open parentheses 1 over 9 close parentheses to the power of 6 space space space space space space space space space space space space space space space space equals space straight C presuperscript 6 subscript 1 space open parentheses 8 over 9 close parentheses to the power of 1 space open parentheses 1 over 9 close parentheses to the power of 5 space plus space straight C presuperscript 6 subscript 0 space open parentheses 8 over 9 close parentheses to the power of 0 space open parentheses 1 over 9 close parentheses to the power of 6 space space space space space space space space space equals space 6 over 1 cross times 8 over 9 cross times 1 over 9 to the power of 5 plus 1 space cross times space 1 space cross times space 1 over 9 to the power of 6 space equals 1 over 9 to the power of 6 left parenthesis 48 plus 1 right parenthesis space equals space 49 over 531441
              

     
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    1027. Find the probability of getting a sum of 9 at least twice in 10 throws with two dice.
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    1028. A pair of dice is thrown 6 times. If getting a total of 7 is considered a success, what is the probability of at least 4 successes?
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    1029. A pair of dice is thrown 6 times. If getting a total of 7 is considered a success, find the probability of at least five successes.
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    1030. In a throw of 4 dice, find the probability that at least one die shows up 4.
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