Question

Ella's college professors assign homework independently from each other. ella knows that there is a 60% chance that she will have math homework tonight and a 70% chance that she will have english homework. what is the probability that she will not have math or english homework tonight? (2 points) group of answer choices 10% 12% 42% 70%

Answer 1

Explanation:

If the probability of having math homework is 60% and the probability of having English homework is 70%, then the probability of not having math homework is 40% and the probability of not having English homework is 30%.

The probability of not having any homework is the probability of not having math homework and not having English homework.

Probability of not having math homework = 40%

Probability of not having English homework = 30%

Probability of not having any homework = Probability of not having math homework x Probability of not having English homework = 40% is 0.4

30% is 0.3

0.4x0.3 = 0.12

And 0.12 is 12%

So the probability that Ella will not have any homework tonight is 12%.