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The probability that the cube never lands on 3 is 23.25%

What is Probability?

  • Mathematical explanations of the likelihood that an event will occur or that a statement is true are referred to as probabilities.
  • A number between 0 and 1 represents the likelihood of an event, with 0 generally denoting impossibility and 1 denoting certainty. It is more likely that an event will occur if its probability is higher.
  • The flip of a fair (impartial) coin serves as a straightforward illustration. The coin is fair, thus both possibilities are equally likely.
  • The probability of "heads" equals the likelihood of "tails," and as there are no other conceivable outcomes, the probability of either "heads" or "tails" is 1/2 (also written as 0.5).

Given

Number cube

Toss = 8

First we need to get the probability of landing on 3 in a single toss;

n(3) =

n total = 6

p(3) = [tex]\frac{1}{6}[/tex]

First we need to get the probability of not  landing on 3 in a single toss;

Opposite probability = 1;

So: P(3) + P(3)' = 1

hence P(3)'=[tex]\frac{5}{6}[/tex]

for 8 times

[tex]P(3)' = (\frac{5}{6})^8 \\[/tex] = 0.2352

The probability that the cube never lands on 3 is 23.25%

To learn more about probability with the given link

https://brainly.com/question/15135734

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