дание 3. Постройте на диаграмме Эйлера следующие события 1) \( \overline{A \cup(B \cap C)} \) 2) \( \bar{C} \cup(\overline{B \cup A}) \) 3) \( \frac{B \cup(\bar{A} \cap C}{} \) 4) \( \bar{A} \cup B) \cap \bar{C} \)

9.1 Given: \( P(A)=0,45 ; P(B)=y \) and \( P(A \) or \( B)=0,74 \). Determine the value(s) of \( y \) : 9.1.1 If \( A \) and \( B \) are mutually exclusive events. 9.1.2 If \( A \) and \( B \) are independent events.

A six-sided die is rolled. Let A be the event "getting an odd prime number". (1) Write down the set \( \mathrm{A}, \mathrm{n}(\mathrm{A}) \) and \( \mathrm{P}(\mathrm{A}) \). (2) Draw a Venn diagram showing the actual outcomes. (3) Draw a Venn diagram showing the number of outcomes. (4) Draw a Venn diagram showing the probabilities.

Someone hands you a box of 13 chocolate-covered candies, telling you that 6 are vanilla creams and the rest are peanut butter. You pick candies at random and discover the first 3 you eat are all vanilla. Consider a result to be surprising if there is less than a \( 5 \% \) chance of observing it given your expectations. Complete parts a through c below. a) If there really were 6 vanilla and 7 peanut butter candies in the box, what is the probability that you would have picked 3 vanillas in a row? (Round to three decimal places as needed.)

A three-digit number is to be formed from the digits 1,6 and 8 . What is the probability that the number will:

Topic - Probability A restaurant offers a 3 course meal. The entrée may be garlic bread \( (G) \) or chicken soup (S), the a) Draw a tree diagram and list (sample space) all the possible combinations for a 3 course meal.