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the probability of getting an  eleven in a single throw of a pair of dices is    ?
please show your work

Sagot :

ExtremeMathidn

✏️SOLUTION :

  • When two dice are thrown simultaneously, thus number of event can be 6^2 = 36 because each die has 1 to 6 number on its faces.

  • The table above shows the possible outcomes when you threw a pair of dice.

  • Through inspection, only 2 possible outcomes will give a sum of 11, this are the outcomes (5, 6) and ( 6,5)

  • Use the formula below to solve for the probability (p)

[tex] \sf{P = \frac{Number\:of\: favorable\:outcomes}{Total\:number\: of\:possible\:outcome} }[/tex]

  • Number of favorable outcomes = 2
  • Total number of possible outcomes = 36

[tex] \boxed{ \boxed{ \begin{gathered}\sf{p = \frac{2}{36}} \\ \\ = \bold{\frac{1}{18} } \end{gathered}}}[/tex]

✏️ANSWER

The probability of getting an eleven in a single throw of a pair of dices is 1 /18

View image ExtremeMath
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