5. Una caja contiene 4 bolas rojas, 3 azules y 2 verdes. Se extrae una al azar. Halla la probabilidad de que la bola extraida no sea azul.

A basketball player makes \( 70 \% \) of his free throws. If he attempts 20 free throws, what is the probability that he makes at least 15 of them? (Hint: this is a binomial distribution problem with the following parameters: \( n=20 \) as the number of trials and \( p=0.7 \) as the probability of success on a single trial) a. 0.5122 b. 0.3455 c. 0.416 d. 0.1055

Suppose \( A \) and \( B \) are dependent events. If \( P(A)=0.5 \) and \( P(B \mid A)=0.6 \), what is \( P(A \cap B) \) ? A. 0.5 B. 0.3 C. 0.6 D. 0.1

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?

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

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