Une roseraie livre des fleuristes par lots de 100 roses. Afin de fidéliser ses clients, elle rembourse un lot lorsqu'il cor strictement plus de 5 roses fanées, Une étude a montré que \( 4 \% \) des roses livrées sont fanées. On choisit un lot au hasard note \( X \) la variable aléatoire qui compte le nombre de roses fanées de ce lot. 1) Quelle est la loi suivie par la variable aléatoire \( X 7 \) Justifier. 2) A laide du menu a Probabilités o de la calculatrice, déterminer la probabilité, arrondie à \( 10^{-3} \) près, que : a. 8 roses exactement soient fanées. b. 4 roses ou moins soient fanées. c. le lot soit remboursé au fleuriste. 3) Le chef des ventes de la roseraie souhaite que le nombre de lots remboursés n'excède pas \( 1 \% \) des lots livrés. Pot il augmente le nombre minimum \( k \) de roses fanées à partir duquel le lot est remboursé. A laide de la calculatrice, déterminer la valeur de cet entier \( k \).

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.

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. 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?

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.

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.