Question

A lottery game has balls numbered 1 through 15. What is the probability of selecting an even numbered ball or a 13?A. 715B. 25C. 815D. 78

Answer 1

Given

The sample space

`1,2,3,4,5,6,7,8,9,10,11,13,14,15`

even number

`2,4,6,8,10,12,14`

Solution

Probability of selecting even number

`(7)/(15)`

Probability of selecting a 13

`(1)/(15)`

The Or Rule states that we can find the probability of either event A or event B occurring by adding the probability of event A and the probability of event B, as long as both events are mutually exclusive: P(A or B) = P(A) + P(B)

`(1)/(15)+(7)/(15)=(8)/(15)`The final answer
`(8)/(15)`