srichardson1865 srichardson1865
  • 25-04-2021
  • Mathematics
contestada

You roll a fair 666-sided die. What is \text{P(not }3)P(not 3)start text, P, left parenthesis, n, o, t, space, end text, 3, right parenthesis?

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MrRoyal
MrRoyal MrRoyal
  • 30-04-2021

Answer:

[tex]P(Not\ 3) = \frac{5}{6}[/tex]

Step-by-step explanation:

Given

[tex]S = \{1,2,3,4,5,6\}[/tex] --- sample space

Required

P(not 3)

First, we list out all outcomes that are not 3.

We have:

[tex]Not\ 3 = \{1,2,4,5,6\}[/tex] --- 5 possible outcomes

[tex]S = \{1,2,3,4,5,6\}[/tex] ---- 6 total outcomes

So, P(Not 3) is calculated as:

[tex]P(Not\ 3) = \frac{n(Not\ 3)}{n(S)}[/tex]

[tex]P(Not\ 3) = \frac{5}{6}[/tex]

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