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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%

1 Answer

3 votes

Answer:

12%

Explanation:

To find the probability that Ella will not have math or English homework tonight, we can use the concept of complementary events. The complementary event of Ella having math homework is Ella not having math homework. Similarly, the complementary event of Ella having English homework is Ella not having English homework.

The probability of Ella not having math homework is 1 minus the probability of her having math homework, which is 1 - 0.60 = 0.40.

Similarly, the probability of Ella not having English homework is 1 - 0.70 = 0.30.

To find the probability that Ella will not have math or English homework tonight, we can multiply the probability of each event happening:

P(not having math or English homework) = P(not having math homework) * P(not having English homework)

P(not having math or English homework) = 0.40 * 0.30 = 0.12

Therefore, the probability that Ella will not have math or English homework tonight is 12%.

The correct answer is 12%.

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