"Random Events" PPT courseware

Description

"Random Events" PPT courseware

1. Concept analysis

Events that must occur under certain conditions are called inevitable events

Events that must not occur under certain conditions are called impossible events.

Necessary events and impossible events are collectively called certain events.

Events that may or may not occur under certain conditions are called random events.

think about it

Determine whether the following events are definite events or uncertain events

(1) A chick hatched from a stone

(2) It will rain in our city on December 13 next year

(3) The earth revolves around the sun

(4) Human life will be extended indefinitely

(5) A coin is tossed upwards, and when it falls, the side with the national emblem faces up.

(6) A glass will break if it falls from a high altitude

Example 1: Determine whether the following statements are correct

① "A coin thrown upward from the ground will fall" is a random event; ( )

② "The cork sinks to the bottom of the water" is an impossible event; ( )

③ "Winning a big prize by buying a lottery ticket" is an inevitable event; ( )

④ "It will rain tomorrow" is a random event. ( )

Example 2. Point out which of the following events are inevitable events, which are impossible events, and which are random events?

①In decimal system 1+1=2; ()

②1+2>3; ( )

③Draw 10 cards randomly from a deck of playing cards, including 4 Aces; ( )

④ 10 birds are kept in 3 cages, and at least one cage contains more than 3 birds; ( )

⑤The sum of the three interior angles of any triangle on the plane is 180 degrees; ( )

⑥The sun will rise from the west tomorrow. ( )

⑦When calling a classmate, I encountered a busy signal. ( )

⑧Two cars passing one after another on the road have license plates with odd numbers ending in them. ( )

⑨The product of two non-zero real numbers is positive. ( )

fill in the blank:

A. "The tire was punctured by glass while riding a bicycle" is a _______ event;

B. "The moon rises from the east" is a ______ event;

C. "It rains heavily during the Qingming Festival" is a ______ event;

D. "High Reachable Stars" is a _________ event;

E. "Find any point on the straight line y=x+1 whose ordinate is larger than the abscissa" is a ________ event;

F. "Draw a right triangle arbitrarily on the plane, and the sum of its two acute angles is 90°" is a ________ event;

G. "Find any point on the straight line y=2x, the ordinate of which is larger than the abscissa" is a ________ event;

H. "Two parallel lines will intersect" is a ________ event;

think:

The county magistrate wanted a certain prisoner to die, so he wrote two "death" notes, folded them and prepared them for him to draw lots. Unexpectedly, the prisoner saw through the magistrate's trick and swallowed a piece of paper during the lottery, saying that he could deduce the note he got by looking at the words written on the rest of the paper. answer the questions:

(1) There were originally two slips of paper with the word "death" and "live" written on them. They were folded and let the prisoner draw lots. So what happened when the prisoner caught the slip of paper with the word "death" on it?

(2) Now, if the prisoner opens the note he was caught with, what is the event of "being executed"?

(3) What is the incident of being "executed" after reading the remaining note? In fact, what are the events in (2) and (3) in this story?

think:

Little A, Little B and Little C each bought a bottle of drinks. Among the 20 bottles of drinks for purchase, two bottles have expired.

Please design an impossible event, an inevitable event, and a random event based on the above passage.

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Update Time: 2024-09-08

This template belongs to Mathematics courseware Qingdao Edition Ninth Grade Mathematics Volume 2 industry PPT template

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