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hjlf
2 years ago
14

A fair six sided die is rolled twice what is the probability it will end on one and then six

Mathematics
2 answers:
aleksklad [387]2 years ago
7 0

Total elements in sample space=6

P(1)

  • 1/6

P(6)

  • 1/6

P(1 and 6)

  • (1/6)²
  • 1/36
  • 2.78%
aleksandrvk [35]2 years ago
4 0

Answer:

2.78%

Step-by-step explanation:

<u>Probability Formula</u>

\sf Probability\:of\:an\:event\:occurring = \dfrac{Number\:of\:ways\:it\:can\:occur}{Total\:number\:of\:possible\:outcomes}

We are told that the six-sided dice is fair. This means that each of the faces has the same probability of being rolled.

Therefore, the probability of rolling one is:

\implies \sf P(x = 1)=\dfrac{1}{6}

The probability of rolling six is:

\implies \sf P(x = 6)=\dfrac{1}{6}

Therefore, the probability of rolling one and then six is:

\begin{aligned}\implies \sf P(x=1)\:and\:P(x=6) & = \sf \dfrac{1}{6} \times \dfrac{1}{6}\\& =\sf \dfrac{1}{36}\\& = \sf 0.0278\:(3\:s.f.)\\& = \sf 2.78\%\:(3\:s.f.)\end{aligned}

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