# T.i.P.S.

• Students will find the probabilities of a simple event and its complement and describe the relationship between the two. A complement to a simple event is the probability of the non-occurrence of a desired outcome such as the probability of selecting any card but a face card from a deck of cards. The complement can be addressed by determining the probability of an event and subtracting that probability from 1 or by using the sample space to eliminate the possible outcomes of a given event and determining the probability of the remaining outcomes of the given event.

# Example

• Mary is developing a game for a project and was calculating the probability of landing on the yellow section using the spinner below.

Mary stated that the probability of landing on yellow was 1/5 and its complement was 4/5. Is Mary correct? Explain her thinking.

Hint
Possible Solution

# TEKS

• Supporting Standard

(6) Proportionality. The student applies mathematical process standards to use probability and statistics to describe or solve problems involving proportional relationships. The student is expected to:

(E) find the probabilities of a simple event and its complement and describe the relationship between the two