Question

Earlier in the lesson, we made a list to represent the sample space for this situation. Which outcomes are favorable outcomes for e1?

a) n-d
b) n-p
c) n-n
d) d-n
e) d-p
f) d-d
g) p-n
h) p-d
i) p-p

Answer 1

Without the context of 'e1' it's impossible to specify favorable outcomes. However, the other parts of the question give insights into calculating probabilities for specific events. The approach involves defining the sample space and then identifying the subset of outcomes that are considered favorable.

Step-by-step explanation:

To determine the favorable outcomes for e1 we need to know the context of e1 which isn't provided in the question. However, we can approach the parts providing more details. For instance:

1. 
   

3. Listing the sample space of possible outcomes typically involves detailing all the possible results of an event. For instance, if the event involves tossing a coin and rolling a die, the sample space would be the set of all possible pairs (coin side, die number).

4. 
   

6. Finding the probability of getting a 17-oz. piece of meat (P(17-oz. meat)) would involve dividing the number of 17-oz. meat outcomes by the total number of outcomes in the sample space.

7. 
   

9. Finding the probability of getting a pork chop (P(pork chop)) is similar to the previous step, but you focus on the outcomes with pork chops.

10. 
    

12. Finding the probability of a combined event, such as getting a 17-oz. pork chop (P(17-oz. pork chop)), requires focusing on the overlap between the two conditions: being 17-oz. and being a pork chop.

For another example:

• 
  

• In an experiment with picking a card and tossing a coin, the sample space would list out all combinations, such as GHT for picking a green card and the coin landing on heads or tails.

For conditional probabilities, we must adjust the sample space to only those outcomes that meet the given condition and then determine the ratio of the favorable outcomes to this restricted sample space.