4. In any rearrangement (or list) of the 26 letters of the English alphabet, which has 21 consonants and 5 vowels, must there be some place where there are at least a. 3 consonants in a row? b. 4 consonants in a row? c. 5 consonants in a row? Provide explanation for your answer(s).

In an aquarium, there are 7 large fish and 6 small fish. Half of the small fish are red. One fish is selected at random. Find the probability that it is a small, red fish. Write your answer as a fraction in simplest form.

04- Se voce escolher aleatoriamente uma letra no alfabeto, qual a probabilidade de selecionar uma vogal? a) \( 5 / 13 \) b) \( 7 / 13 \) c) \( 7 / 26 \) a) \( 5 / 26 \)

\( \begin{array}{l}\text { Place the question numbers on } \\ \text { the probability scale below, } \\ \text { where you think they go. } \\ 8 \\ \text { The rolling of a number less } \\ \text { than } 3 \text { with a fair die. } \\ 9 \text { Selecting a red card from a } \\ \text { deck of cards } \\ 10 \text { The chance of buying one } \\ \text { ticket and winning the lottery. } \\ 11 \text { Selecting a number card }\end{array} \).

An organization will give a prize to a local artist. The artist will be randomly chosen from among 10 painters, 3 sculptors, and 5 photographers. What is the probability that the artist chosen will be a sculptor or a photographer? Write your answer as a fraction in simplest form.

ATIVIDADE AVALIATIVA 01 - Se lançarmos um dado, qual a probabilidade de obtermos um número maior que 4 ? a) \( 2 / 3 \) b) \( 1 / 4 \) da \( 1 / 3 \) d) \( 3 / 2 \)