Question

To solve the problem below use the generaladdition rule for probabilityStep 5 got cut out Step 5: What is P(A or B)?

Answer 1

P(A or B) = 0.7

Explanations:

The given general addition rule for probability is given as:

`P(A\cup B)=P(AorB)=P(A)+P(B)-P(AandB)`

Given the following parameters

P(A) = 40% = 0.4

P(B) = adult has a pet = 50% = 0.5

P(A and B) = adults have children and pet = 20% = 0.2

Substitute the given parameters into the formula;

`\begin{gathered} \text{ P(A or B) = 0.4 + 0.5 - 0.2} \\ \text{ P(A or B) = 0.9 - 0.2} \\ \text{ P(A or B = 0.7} \end{gathered}`

Therefore the probability P(A or B) is 0.7