Question

Kimberly tracked the cartoons shown on the channel her kids watch for a week. The probability that the show had animals in it was 0.7 . The probability that the show aired more than 10 times was 0.4. The probability that the show had animals in it and aired more than 10 times was 0.2. Which equation shows the correct use of the addition rule to determine the probability that a randomly selected show had animals in it or aired more than 10 times?

Answer 1

p(A or more than 10) = 0.7 + 0.4 - 0.2 = 0.9

Explanation:

Given the following probabilifu distribution :

Probability that show had animals in it :p(A) = 0.7

Probability that show aired more than 10 times : p(more than 10) = 0.4

Probability that show had animals and aired more than 10 times: p(A n more than 10) = 0.2

Recall:

P(A or B) = p(A) + p(B) - p(A n B)

Hence,

p(A or more than 10) = p(A) + p(more than 10) - p(A n more than 10)

p(A or more than 10) = 0.7 + 0.4 - 0.2 = 0.9