3. En una carrera de maratón intervienen 3 españoles, 2 ingleses, 1 italiano, 3 alemanes, 2 franceses y 1 belga. Si un pódium consiste en 3 personas situadas en 3 puestos distintos, ¿cuántos pódiums distintos pueden darse al acabar la carrera?

QUESTÃO 7: Em um escritório trabalham 10 funcionários: 5 do sexo feminino e 5 do sexo masculino. Dispõe-se de 10 . fichas numeradas de 1 a 10, que serão usadas para sortear dois prêmios entre esses funcionários e, para tal, cada mulher receberá uma ficha numerada de 1 a 5 , enquanto que cada homem receberá uma numerada de 6 a 10 . Se, para o sorteio, as fichas das mulheres forem colocadas em uma urna Me as dos homens em uma urna \( H \), entāo, ao sortear-se uma ficha de cáda urna, a probabilidade de que em pelo menos uma delas esteja marcado um número impar é de:

A bag contains 3 gold marbles, 9 silver marbles, and 21 black marbles. Someone offers to play this game: You randomly select one marble from the bag. If it is gold, you win \( \$ 4 \). If it is silver, you win \( \$ 2 \). If it is black, you lose \( \$ 1 \). What is your expected value if you play this game?

In parts (a) and (b) consider the following two events and then determine whether the events are independent or dependent. (a) Event 1: Owning a cat, Event 2: Planting a flower garden Independent Dependent (b) Event 1: One randomly selected student gets an A on the biology exam, Event 2: One randomly selected student gets selected to speak at graduation Independent Dependent

Ben buys a bag of cookies that contains 9 chocolate chip cookies, 5 peanut butter cookies, 5 sugar cookies and 4 oatmeal cookies. What is the probability that Ben randomly selects a peanut butter cookie from the bag, eats it, then randomly selects a chocolate chip cookie? Express you Inswer as a reduced fraction. Question Help: \( \square \) Video Submit Question

Kyd and North are playing a game. Kyd selects one card from a standard 52 -card deck. If Kyd selects a face card Jack, Queen, or King), North pays him \( \$ 6 \). If Kyd selects any other type of card, he pays North \( \$ 3 \). a) What is Kyd's expected value for this game? Round your answer to the nearest cent. \( \$ \) b) What is North's expected value for this game? Round your answer to the nearest cent. \$ c) Who has the advantage in this game? Select an answer -