Question

Kims group of pre school children includes nine girls and seven boys. If she randomly selects one child to be first in line, with E being the event that the one selected is a girl, give each of the following.

A) The total number of possible outcomes.
B) The number of favorable outcomes.

Answer 1

The total number of possible outcomes when selecting a child to be first in line is 16. The number of favorable outcomes for selecting a girl from the group, which is event E, is 9.

Step-by-step explanation:

The question involves the concept of probability, specifically calculating the likelihood of choosing a girl from a group of preschool children.

1. Total number of possible outcomes: This is the total number of children, which includes both girls and boys. So, the total number of possible outcomes when selecting one child to be first in line is the sum of the number of girls and boys, which equals 16 (9 girls + 7 boys).
2. Number of favorable outcomes: The number of favorable outcomes refers to the total number of girls, since the event E is selecting a girl. There are 9 girls, so the number of favorable outcomes is 9.