02. No lançamento de um dado, defina o espaço amostral e os eventos a) "ocorrência de número par"; b) "ocorrência de um número menor do que c) ""; d) "ocorrência de múltiplo de 3"; e) "ocorrência de um número menor do que um número maior do que e) zero e menor do que 7 ".

¿Cuantas diferentes permutaciones o acomodos se pueden realizar con los números \( 1,2,3 \) tomando DOS a la vez?

03. Em um baralho com 52 cartas, defina o espaço amostral e os eventos a) "retirar uma carta de âs"; b) "retirar uma carta de ás de ouros"; c) "retirar a carta 2".

Consider the figures to the right. Assume that one number from 1 to 7 is equally likely to be selected at random. Each number corresponds to one of the seven figures shown. Find the probability of selecting a triangle, given that an odd number is selected. \( \mathrm{P}( \) triangle - odd \( )=\square \) (Type an integer or a simplified fraction.)

Consider the figures to the right. Assume that one number from 1 to 7 is equally likely to be selected at random. Each number corresponds to one of the seven figures shown. Find the probability of selecting a circle, given that an odd number is solected. \( \mathrm{P}( \) circle \( / \) odd) \( =\square \) (Type an integer or a simplified fraction.)

Suppose you play a slot machine where each wheel has four pictures: one bell and three fruits. Let's say the payoffs are the same: \( \$ 20 \) for three bells, \( \$ 5 \) for three of the same fruit, and \( \$ 2 \) for two bells and one fruit. What's the expected value of the game? \( \$ 1.32 \) \( \$ 1.22 \) \( \$ 0.83 \)