Describe the difference between theoretical probability and empirical probability.   Choose the answer below. A. Theoretical probability applies to situation in which the sample space only contains equally likely outcomes, all of which are known. By contrast, empirical probability applies to situations in which we observe how frequently an event occurs. B. Theoretical probability applies to situation in which we observe how frequently an event occurs. By contrast, empirical probability applies to situations in which the sample space only contains equally likely outcomes, all of which are known. C. Theoretical probability applies to situation in which the sample space only contains outcomes that are not equally likely, all of which are known. By contrast, empirical probability applies to situations in which we observe how frequently an event occurs. D. Both theoretical and empirical probabilities are same.

There are 52 cards in a standard deck of cards, with four suites: hearts, clubs, diamonds and spades. Each suit has 13 cards: Ace, \( 2,3,4,5,6,7,8,9,10 \), Jack, Queen, King . Let event \( A \) be choosing a card with 7 out of a standard deck of cards. Identify the numbers of each of the following. Enter the probability as a fraction: Provide your answer below: There are \( \square \) cards in the sample space. There are \( \square \) cards in event A. \( \mathrm{P}(\mathrm{A})=\square \), is the probability that you choose a 7 out of the deck of cards.

Question 2 A bag contains 4 red balls, 3 black balls, and 3 green balls. Two balls are randomly drawn from the bag one after the other with replacement. 2.1 Construct a tree diagram to represent all possible outcomes of drawing two balls in succession. Clearly label the branches with the corresponding probabilities.

1. Em uma fábrica de potes de plastico, observou-se no controle de qualidade que 1 em cada 10 potes apresentava algum tipo de defeito. Qual a probabilidade de escolher um pote aleatoria- mente dessa fábrica e ele não possuir defeito algum?

Question When a coin is tossed three times, what is the probability that all three tosses are heads? The possible outcomes for the coin tosses are \( \{H H H, T T T, H T T, H H T, T H H, T T H, H T H, T H T\} \) - Express your answer as a simplified fraction.

1 Para crear una prueba, un profesor tiene un banco de 50 preguntas. Si de ellas escogerá 20. ¿de cuántas formas puede crear la prueba? \( =50 \) \( =20 \)