Question

List the three formulas that can be used to describe complementary events.

Answer 1

Complementary events can be described using three formulas: P(A) + P(A') = 1, P(A) = 1 - P(A'), and P(A') = 1 - P(A).

Step-by-step explanation:

Formulas for Complementary Events

1. P(A) + P(A') = 1
2. P(A) = 1 - P(A')
3. P(A') = 1 - P(A)

These three formulas can be used to describe complementary events. In probability theory, complementary events are pairs of events that add up to the whole sample space. The complement of event A is denoted as A' and represents all outcomes not in event A. The first formula states that the sum of the probabilities of event A and its complement is equal to 1. The second formula allows us to find the probability of event A by subtracting the probability of its complement from 1. The third formula provides an alternative way to find the probability of the complement of event A by subtracting the probability of event A from 1.

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