"Using tree diagrams or tables to find probabilities" Further understanding of probability PPT courseware 4

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"Using tree diagrams or tables to find probabilities" Further understanding of probability PPT courseware 4

Probability

Use a tree diagram or table to clearly represent all possible outcomes of an event;

This makes it easier to find the probability of certain events occurring.

Match Purple Game

Xiaoying designed a "match purple" game for the school party: below are two turntables that can rotate freely, and each turntable is divided into several equal sectors.

The rules of the game are: the player spins two turntables at the same time. If turntable A turns red and turntable B turns blue, then he wins, because red and blue match together to form purple.

(1) Use a tree diagram or list method to represent all possible outcomes for the player.

(2) What is the probability of the player winning?

Get “enlightenment” with your heart

Example 2 As shown in the picture, there are two identical balls in the bag, marked with the numbers "1" and "2" respectively. Xiao Ming designed a game: the player randomly takes out a ball from the bag each time and rotates freely The turntable in the picture (the turntable is divided into three equal sectors).

The rules of the game are:

If the sum of the number on the touched ball and the number turned out on the turntable is 2, then the player wins. Find the probability of the player winning.

What you get from the Match Purple game

When using tree diagrams and lists to find probabilities, it should be noted that the likelihood of various results must be the same.

The "match purple" game embodies the idea of ​​​​probability model, which enlightens us: probability is a mathematical description of random phenomena. It can help us better understand random phenomena and make our own decisions about some uncertain situations in life. decision making.

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Update Time: 2024-09-21

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