A \( € 50 \), a \( € 20 \), a \( € 10 \) and a \( € 5 \) note are placed in equal-sized envelopes in a bag. A person draws an envelope at random and wins that amount. (a) What is the expected value for this game? (b) Six more equal-sized envelopes, each with a \( € 5 \) note, are placed in the bag. A person draws an envelope at random and wins that amount. What is the expected value for this game?

In un'urna ci sono 3 palline rosse e 2 blu. Se estraiamo una pallina rossa, qual è la probabilità di estrarre poi una seconda pallina rossa?

In a certain Algebra 2 class of 24 students, 9 of them play basketball and 5 of them play baseball. There are 3 students who play both sports. What is the probability that a student chosen randomly from the class plays basketball or baseball?

Some red, white, and blue candies were placed in a bowl. Some contain nuts, and some do not. Suppose one of the candies were chosen randomly from all the candies in the bowl. Which of the following represents a conditional probability? A. The probability that the candy is blue B. The probability that the candy is not red C. The probability that it contains nuts and is white D. The probability that it does not contain any nuts, given that the candy is red

What does it mean for two events to be independent in probability?

A widget company produces 25 widgets a day, 5 of which are defective. Find the probability of selecting 5 widgets from the 25 produced where none are defective. A. \( \frac{2584}{8855} \) B. \( \frac{1}{5} \) C. \( \frac{1}{3125} \) D. \( \frac{1}{10626} \)