Assuming that boy and girl babies are equally likely, fill...

Assuming that boy and girl babies are equally likely, fill in the remaining probabilities on the tree diagram below and use that information to find the probability that a family with three children has all girls, given the following.
The third is a girl.

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Key Concepts

Independent Events

Independent events are those whose outcomes do not influence each other. In probability, the occurrence of one event does not alter the probability of another happening, which allows for the use of multiplication in calculating the likelihood of several independent events occurring together.

Sample Space

The sample space encompasses all potential outcomes of a random experiment. When outcomes are equally likely, knowing the sample space is essential to determine the probability of any particular event by comparing favorable outcomes to the total possibilities.

Conditional Probability

Conditional probability is the measure of the likelihood of an event occurring given that another event has already occurred. It is a critical concept in probability theory that allows us to refine our probability calculations based on new information.

Tree Diagrams

A tree diagram is a visual representation of all possible outcomes of a probabilistic event, laying them out in a branching structure. It helps in systematically organizing and calculating the probabilities associated with sequential independent events.

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