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​

Answer 1

✯✯ 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..

$⇢Favourable\:Outcomes=6$

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

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

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

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2. 5 will not come either time..

$⇢Favourable\:Outcomes=25$

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

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

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3. 5 will come atleast once..

$⇢Favourable\:Outcomes=11$

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

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