A certain game involves tossing 3 fair coins, and it pays \( 14 \ell \) for 3 heads, \( 5 \& \) for 2 heads, and \( 2 \& \) for 1 head. Is \( 5 \& \) a fair price to pay to play this game? That is, does the \( 5 \notin \) cost to play make the game fair? The \( 5 \& \) cost to play 1 a fair price to pay because the expected winnings are (Type an integer or a fraction. Simplify your answer.)

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 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.

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.

fer uma pesquisa coma a turma e organizou os dados obtidos cm uma tabela De acordo ce ual e a probabilidade de Catia sortear uma pessoa da turma e ela usar óculos?