1. En una urna donde hay dos bolas rojas y tres bolas verdes. Sacamos una bola, anotamos su color y la devolvemos a la urna. Realizamos este proceso tres veces. Realiza el diagrama de árbol y responde: ¿la probabilidad de que las tres bolas sean iguales es de? a. 0,216 b. 0,28 c. 0,72 d. 0,064

Round your answer to 4 decimal places, if necessary. What is the probability of pulling out: a) a face card? \( P( \) face \( )= \) b) a diamond or a spade? \( P \) (diamond or spade) \( =\square \) c) a 3 or a 9 ? \( P(3 \) or 9\( )= \) d) an ace or a heart? \( P( \) ace or heart \( )=\square \) e) a face card or a spade? \( P( \) face or spade \( )= \) f) a 7 or a red card? \( P(7 \) or red \( )=\square \)

A die is rolled. Find the probability of the given event. (a) The number showing is a 5 ; The probability is: (b) The number showing is an even number; The probability is : (c) The number showing is greater than 2 ; The probability is :

A card is drawn randomly from a standard 52-card deck. Find the probability of the given event. (a) The card drawn is 5 The probability is : \( \frac{1}{53} \) (b) The card drawn is a face card (Jack, Queen, or King) The probability is : (c) The card drawn is not a face card. The probability is:

There is a 0.99962 probability that a randomly selected 23 -year-old female lives through the year. An insurance company wants to offer her a one-year policy with a death benefit of \( \$ 1,000,000 \). How much should the company charge for this policy if it wants an expected return of \( \$ 600 \) from all similar policies? The company should charge \( \$ \square \). (Round to the nearest dollar.)

If \( f(x)=k(1-x) \quad 0<x+1 \) Find \( P(x>0.25) \)