contestada

The probability that homework is assigned in Ethan's computer science class is 7/10 From a randomly chosen class, find the probability that Ethan does NOT have computer science homework.

Respuesta :

ajeigbeibraheem

The probability that Ethan does NOT have computer science homework is 0.3

From the information given:

  • Let the probability that homework is assigned in Ethan's computer science be P(A) = 7/10

However, in probability, the sum of all event outcomes is always equal to 1.

∴

[tex]\mathbf{P(A) + P(A^c) = 1}[/tex]

where;

  • [tex]\mathbf{ P(A^c) = }[/tex] the probability that Ethan does  NOT have computer science homework

Thus;

[tex]\mathbf{ P(A^c) = 1- P(A)}[/tex]

[tex]\mathbf{ P(A^c) = 1- \dfrac{7}{10}}[/tex]

[tex]\mathbf{ P(A^c) =\dfrac{10 -7}{10}}[/tex]

[tex]\mathbf{ P(A^c) =\dfrac{3}{10}}[/tex]

[tex]\mathbf{ P(A^c) =0.3}[/tex]

Therefore, we can conclude that the probability that Ethan does NOT have computer science homework is 0.3

Learn more about probability here:

https://brainly.com/question/11234923?referrer=searchResults

Otras preguntas