Question

Given : P(A)=2/3, P(B)=30%. A and B are mutually exclusive events. Find P(A or B). a)25/35b)29/30c)11/30d)30

Answer 1

b)29/30

Explanation:

When two events are exclusive, we can apply the following formula:

`\begin{gathered} P\mleft(AorB\mright)=P(A)+P(B) \\ P(A)=(2)/(3) \\ P(B)=30\text{\% }=(30)/(100)=(3)/(10) \end{gathered}`

We replace and calculate the P(A or B):

`\begin{gathered} P(AorB)=(2)/(3)+(3)/(10)=(2\cdot10+3\cdot3)/(3\cdot10)=(20+9)/(30) \\ P(AorB)=(29)/(30) \end{gathered}`