Question

In bowling, there are 10 pins that stand in a triangular shape. The idea is to knock down all the pins. A frame consists of two rolls (if you don’t knock all 10 pins down in the first roll). On your first roll, you knock down pins 9, 5, 7, and 1; in the second roll, you knock down pins 4 and 8. Which of the following options is a subset that is a complement of the event?

Option #1: {3,4,6,9}
{
3
,
4
,
6
,
9
}

Option #2: {2,3,6,10}
{
2
,
3
,
6
,
10
}

Option #3: {1,4,5,7,8,9}
{
1
,
4
,
5
,
7
,
8
,
9
}

(1 point)
Option # is a subset that is a complement of the event.

Answer 1

Option #2.

Pins knocked down = {1,4,5,7,8,9}, so the complement (pins left standing) = {2,3,6,10}, which is Option #2.