The probability Kayla will score above 70% on a mathematics test is 0.60. Kayla will take four tests this semester. We want to find the probability she will score above 70% on exactly three out of the four tests. What is the probability of Kayla scoring above 70% on exactly three out of the four tests

Respuesta :

The probability of Kayla scoring above 70% on exactly three out of the four tests is 8.64%.

Probability

Given that the probability Kayla will score above 70% on a mathematics test is 0.60, and Kayla will take four tests this semester, and we want to find the probability she will score above 70% on exactly three out of the four tests, to determine what is the probability of Kayla scoring above 70% on exactly three out of the four tests, the following calculation must be performed:

  • 0.6 x 0.6 x 0.6 x 0.4 = X
  • 0.216 x 0.4 = X
  • 0.0864 = X
  • 0.0864 x 100 = 8.64

Therefore, the probability of Kayla scoring above 70% on exactly three out of the four tests is 8.64%.

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