A dice is thrown twice. What is the probability of getting (1) the sum of 7 (2) 5 will not came up either time. (3) 5 will cam

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A dice is thrown twice. What is the probability of getting (1) the sum of 7 (2) 5 will not came up either time. (3) 5 will came up at least once​

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Remi 4 weeks 2021-11-06T10:01:39+00:00 1 Answer 0 views 0

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    2021-11-06T10:03:07+00:00

    ✯✯ QUESTION ✯✯

    A dice is thrown twice. What is the probability of getting (1) the sum of 7 (2) 5 will not came up either time. (3) 5 will came up at least once..

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    ✰✰ ANSWER ✰✰

    ⇝\textbf{Total\:Outcomes=36}

    1.Sum of 7..

    ⇢Favourable\:Outcomes=6

    ⇢\dfrac{No.\:of\:Fav.\:Outcomes}{Total\:no.\:of\:Outcomes}

    ⇢Probability=\cancel\dfrac{6}{36}⟹\dfrac{1}{6}

    Probability=\large{\boxed{\bold{\bold{\green{\sf{\dfrac{1}{6}}}}}}}

    _______________________

    2. 5 will not come either time..

    ⇢Favourable\:Outcomes=25

    ⇢\dfrac{No.\:of\:Fav.\:Outcomes}{Total\:no.\:of\:Outcomes}

    Probability=\large{\boxed{\bold{\bold{\purple{\sf{\dfrac{25}{36}}}}}}}

    _______________________

    3. 5 will come atleast once..

    ⇢Favourable\:Outcomes=11

    ⇢\dfrac{No.\:of\:Fav.\:Outcomes}{Total\:no.\:of\:Outcomes}

    Probability=\large{\boxed{\bold{\bold{\red{\sf{\dfrac{11}{36}}}}}}}

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