Thaliavasques7056 Thaliavasques7056
  • 07-04-2018
  • Mathematics
contestada

A fair die is rolled 5 times. a 5 is considered "success," while all other outcomes are "failures." find the probability of 3 successes.

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MsEHolt MsEHolt
  • 17-04-2018
The probability is 0.0322.

This can be modeled using a binomial distribution; each probability is independent, there is a fixed number of trials, and there are two outcomes (success or failure).

[tex]_nC_r(p)^r(1-p)^{n-r} \\ \\=_5C_3(\frac{1}{6})^3(\frac{5}{6})^2=10(\frac{1}{6})^3(\frac{5}{6})^2=0.0322[/tex]
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