4. Cuando al menos una de cuatro banderas de colores rojo, verde, negro y azul es acomodadas verticalmente en una asta de ban dera, el resultado in dica una señal (o mensaje). Arreglos diferentes proporcionan señales diferentes a) ¿Cuántas sef̃ales diferentes son posibles si las cuatro ban deras son utilizadas? b) ¿Cuántas señales ciferentes son posibles si al menos un a bandera es utilizada? b) Halla los cuartilesy dibuje o realice el respectivo diagrama de caja y bigotes en Excel

6. Rainy Days A weather forecast system predicts rain using three models: \( M_{1}, M_{2}, M_{3} \). - \( M_{1} \) is used \( 50 \% \) of the time, \( M_{2} 30 \% \), and \( M_{3} 20 \% \). - The probabilities of correctly predicting rain are \( 85 \%, 80 \% \), and \( 90 \% \) for \( M_{1}, M_{2} \), and respectively. A random day is selected. - What is the probability that rain is correctly predicted?

A bag contains 10 red marbles, 10 white marbles, and 10 blue marbles. What is the minimum number of marbles that need to be picked to ensure that at least 6 marbles have the same color? Marbles to pick: Ex: 20

If you draw a card from a deck and do not replace it, what type of events does this represent when drawing a second card?

In a standard deck of 52 cards and 4 suits, how many cards have to be picked to be sure that at least 3 are from the same suit?

If you draw a card from a deck and do not replace it, what type of events does this represent when drawing a second card?