( 13 ) A coin will be tossed twice, and each toss will be recorded as heads ( \( H \) ) or tails ( \( T \) ). Then give all of the outcomes for the event that the first toss is tails. Use the format \( H T \) to mean that the first toss is heads and the second is tails. If there is more than one element in the set, separate them with commas. Sample space: \{ \{

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.

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.

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? \( =50 \) \( =20 \)

Question A stack of cards contains six RED cards numbered \( 1,2,3,4,5,6 \), five BLUE cards numbered \( 1,2,3,4,5 \), and four GREEN cards numbered \( 1,2,3,4 \). If a single card is picked at random, what is the probability that the card has an ODD number? - Express your answer as a simplified Fraction Provide your answer below:

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?