Question bank: Event Classification

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Question 1:

Hard

Imagine you have a box with 5 blue balls, 3 red balls, and 2 yellow balls. If you close your eyes and pick a ball randomly, classify the following events: 1) The ball will be blue; 2) The ball will be green; 3) The ball will be red or yellow. Use the classifications: 'will definitely happen', 'might happen', and 'impossible to happen'.

Event Classification

Contextualized Question

Question 2:

Medium

In your backpack you have 5 blue balls, 3 red balls, and 2 green balls. Without looking inside the backpack, you will take out a ball. Now, I want you to write if the following situations will 'definitely happen', 'may happen' or 'impossible to happen': 1) You will take out a blue ball. 2) You will take out a purple ball. 3) You will take out a green or red ball.

Event Classification

Contextualized Question

Question 3:

Hard

At a pajama party, Ana, João, Maria, and Pedro are playing a game with a die. The game is as follows: for each round, a player rolls the die and earns a point if an even number comes up. If the number is odd, the player does not score. The party has 10 rounds and everyone rolls the die once in each round. Considering that the die is completely fair and has six faces numbered from 1 to 6, classify the occurrence of at least one odd number coming up in an individual round as 'will definitely happen', 'might happen' or 'impossible to happen'.

Event Classification

Contextualized Question

Calculus Question

Question 4:

Hard

Imagine you have a perfect die, with all faces exactly the same, where each face is numbered from 1 to 6. Now, suppose you need to roll the die and observe the number that comes up. We have three possible events: (A) getting an even number, (B) getting a number greater than 4, and (C) getting an odd number. Based on probability concepts, evaluate which event is most likely to occur and which is least likely to occur. Provide a mathematical justification for your answer, indicating the sample space, the number of favorable events for each case, and the relationship between these events and the total sample space.

Event Classification

Theorical Question

Contextualized Question

Question 5:

Hard

Imagine you have a box with 10 marbles. 5 marbles are blue, 3 are red, and 2 are green. If you close your eyes and pick a marble randomly, classify the following events according to the possibilities: 'will definitely happen', 'might happen', and 'impossible to happen'. 1) You will pick a blue marble. 2) You will pick a pink marble. 3) You will pick a green or red marble. Explain the reason for each classification.

Event Classification

Contextualized Question

IARA TIP

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