Question

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.

Answer 1

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.

∴

$\mathbf{P(A) + P(A^c) = 1}$

where;

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

Thus;

$\mathbf{ P(A^c) = 1- P(A)}$

$\mathbf{ P(A^c) = 1- \dfrac{7}{10}}$

$\mathbf{ P(A^c) =\dfrac{10 -7}{10}}$

$\mathbf{ P(A^c) =\dfrac{3}{10}}$

$\mathbf{ P(A^c) =0.3}$

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

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