Question bank: Theoretical Probability

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Question 1:

Hard

During a school fair, the 7th grade class created a guessing game where a participant draws a ball from a bag containing 10 balls: 5 red, 3 blue, and 2 yellow. The rule is that the player wins if they draw a blue ball.

Theoretical Probability

Question 2:

Medium

In a school scavenger hunt, there is a game involving four labeled boxes A, B, C, D where participants must select a box without seeing the content. Box A contains 3 blue balls, 5 red balls, and 2 green balls. Box B contains 4 blue balls, 1 red ball, and 5 green balls. Box C has 2 blue balls, 4 red balls, and 4 green balls. Finally, box D has 6 blue balls, 2 red balls, and 2 green balls. A participant chooses a box at random and draws a ball from it, also at random. (1) Calculate the probability of him having chosen box A. (2) Knowing that the participant chose box A, determine the probability of drawing a red ball. (3) Calculate the probability of him having chosen box A and drawn a red ball.

Theoretical Probability

Question 3:

Medium

Joana is organizing a party with games and activities, and decides to include a game with balloons and a roulette. The roulette has 10 equal colored parts, with 3 red, 2 blue, 4 green, and 1 yellow. Participants must pop a balloon and spin the roulette. Prizes are awarded based on the colors of the balloons (blue or red) and the color chosen on the roulette.

Theoretical Probability

Question 4:

Easy

What is the theoretical probability of getting heads when flipping a fair coin?

Theoretical Probability

Question 5:

Medium

Ricardo and his friends are playing a board game that involves rolling two standard six-sided dice. They noticed that some number combinations are more likely to occur than others. Help them calculate the following probabilities: a) What is the probability of the sum of the numbers obtained on the two dice being equal to 7? b) What is the probability of the number obtained on one of the dice being greater than the other? c) Ricardo rolled the die 50 times and got the number 4 ten times. Based on these results, what is the relative frequency of getting a 4 on that die?

Theoretical Probability

IARA TIP

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