Probability Questions from Nov 21,2024

Browse the Probability Q&A Archive for Nov 21,2024, featuring a collection of homework questions and answers from this day. Find detailed solutions to enhance your understanding.

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Probability involving one die or choosing from n distinct objects A bag contains seven tiles labeled \( B, C, D, E, F, G \), and \( H \). One tile will be randomly picked. What is the probability of picking a vowel? Write your answer as a fraction in simplest form. A six-sided die with sides labeled 1 through 6 will be rolled once. Each number is equally likely to be rolled. What is the probability. of rolling a number greater than 2 ? Write your answer as a fraction in simplest form. 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: 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. Question A professor gives a surprise quiz with one multiple choice question. There are 4 answer possibilities: B, C, and D. What is the probability that you randomly guess and select the correct answer? Give your answer as a fraction. 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 You roll a standard die (with the numbers \( \{1,2,3,4,5,6\} \) on its faces). Let \( A \) be the event that you roll an odd number. What is the probability of the event \( A \) ? Give 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. 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.
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