in a family the probability that at least one parent falls ill is 20 the chance of the father falling ill is 12 and both fall ill is 005 What is the chance the mother is ill

To find the probability that the mother is ill, we need to subtract the probability that only the father is ill from the probability that at least one parent is ill.

Let's denote:

• P(A) as the probability that at least one parent is ill
• P(F) as the probability that the father is ill
• P(M) as the probability that the mother is ill

We are given:

• P(A) = 20%
• P(F) = 12%
• P(F and M) = 0.05

To find P(M), we can use the formula: P(M) = P(A) - P(F and M)

P(M) = 20% - 0.05 P(M) = 0.20 - 0.05 P(M) = 0.15

Therefore, the chance that the mother is ill is 15%