A poll showed that \( 45.2 \% \) of Americans say they believe that some psychics can help solve murder cases. What is the probability of randomly selecting someone who does not believe that some psychics can help solve murder cases. Report the answer as a percent rounded to one decimal place accuracy. You need not enter the "\%" symbol.

Michelle puts 7 red marbles and 5 blue marbles into a bag. If two marbles are chosen at random from the bag, one by one, without replacement, find the probability that two blue marbles are chosen. \( \begin{array}{ll}\text { A } \frac{25}{144} & \text { C } \frac{7}{22} \\ \text { B } \frac{49}{144} & \text { D } \frac{5}{33}\end{array} \)

In a group of people on holiday, it is established that there are: - 10 males under the age of 21 - 8 females under the age of 21 - 5 females aged between 21 and 30 - 7 males over the age of 30 Calculate the probability that, if one person is selected at random from the group this person will be: \( \begin{array}{l}\text { a) A male under the age of } 30 . \\ \text { b) A female. } \\ \text { c) A male over the age of } 21 . \\ \text { d) A person not older than } 21 . \\ \text { e) A male given that this person is over } 30 \text { years. } \\ \text { f) A female or between } 21 \text { and } 30 . \\ \text { g) A male or a female. }\end{array} \)

4. A box contains a total of 100 CDs that were manufactured on two machines. Of them, 60 were manufactured on Machine I. Of the total CDs, 15 are defective. Of the 60 CDs that were manufactured on Machine I, 9 are defective. Let \( D \) be the event that a randomly selected CD is defective, and let A be the event that a randomly selected CD was manufactured on Machine I.

11. One letter is selected from the word "ilovemathematics". What is the probability that a " \( t \) " or an " is chosen?

- выпполнить в тетради задание: Бросают две игральные кости. Событие \( A \) «на первой кости выпала тройка». Событие \( B \) - «на второй кости выпала тройка». Найди вероятность события \( A \cup B \). (Ответ округли до тысячных.)