the probability that event \( E \) will occur is \( 4 / 11 \), what is the probability that \( E \) will not occl

After a particular surgery, patients are placed in an intensive care unit (ICU) until their condition stabilizes. Then they are transferred to a special care ward (SCW), where they remain until they are released from the hospital. In a particular metropolitan area, a study of hospital records produced the following data: each day \( 2 \% \) of the patients in the ICU died, \( 49 \% \) were transferred to the SCW, and the remainder stayed in the ICU. Furthermore, each day \( 3 \% \) of the patients in the SCW developed complications and were returned to the ICU, \( 1 \% \) died while in the SCW, \( 22 \% \) were released from the hospital, and the remainder stayed in the SCW. A) In the long run, what percentage of the patients in the ICU are released from the hospital? \( 91.43 \% \) (Round to two decimal places as needed.) B) In the long run, what percentage of the patients in the SCW die without ever being released from the hospital? \( \square \% \) (Round to two decimal places as needed.)

There are 10 people at a meeting and there are 3 different door prizes to give out. How many ways can we select 3 people to receive the door prizes?

The Fundamental Counting Principle (FCP) store enlls three types of shirts: red, blue, and green. Each shirt is available three different sizes: small, medium, and large. a.) Draw a tree diagram that represents all the possible combinations of Use the tree diagram to calculate the total number of different shirt com- tions (color and size) available in the store (5 pts). Suppose a customer randomly selects one shirt from the store. What is robability that the selected shirt is cither blue or large in size? (5pts) What is the probability of a customer purchasing a shirt that is large irple? (5pts)

Question 2 (1 point) Using the definition of probability, what are the chances of pulling a King out of a deck of 52 cards? \( 1 / 52 \) \( 4 / 52 \) \( 8 / 52 \) \( 2 / 52 \)

Question 4 (1 point) In order for 2 events to be mutually exclusive, they occur at the same time. True False