Foe the experiment of flipping a coin three times, use a...

Foe the experiment of flipping a coin three times, use a tree diagram to find $P$ (at least two tails). Let $H_1, H_2$. and $\mathrm{H}_3$ represent besds on the first, second, and third llips, and $T_1, T_2$, and $T_3$ represent getting a tail on the first, second, and third flips.

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Key Concepts

Probability Calculation

Probability calculation involves determining the likelihood of an event by dividing the number of favorable outcomes by the total number of outcomes in the sample space. This concept is central to probability theory and is applied to assess events based on their outcomes.

Counting Principle

The counting principle, or the multiplication rule, states that if there are several stages in an experiment, the total number of outcomes is the product of the number of outcomes of each individual stage. This principle is used to determine the size of the sample space.

Tree Diagram

A tree diagram is a graphical tool used to list all possible outcomes of a sequential experiment. It organizes outcomes step-by-step, making it easier to visualize and count paths that lead to specific events.

Sample Space

The sample space is the set of all possible outcomes of an experiment. It is foundational in probability theory, as determining the sample space is necessary for calculating the probability of any event.

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