Solving Probability Question: Expected Outcomes vs Total Possible & Event Type

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Total Possible Outcomes = n = 1Event Type = Binomial DistributionIn summary, the problem is asking for the probability of selecting a red card from a deck, which is 1/2. It also wants to know the expected outcome and total possible outcomes, which can be calculated using the binomial distribution formula. The event type for this problem is a binomial distribution.
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I'm trying to solve a problem that states: Select a card from the deck. What is the probability that this card will be red? Show the number of expected outcomes versus the number of total possible outcomes. What type of event does this represent.

I know (at least I think I know) that the probability of the card being red is 1/2. But what is the expected outcome vs total possible? And what is the event type?

Any help with this question would be greatly appreciated! Thanks!
 
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  • #2
Something is wrong with the wording there. You expect 1 outcome, 1 out of a possible 52 outcomes. They might mean for the number of outcomes where the card is red. Clearly, this is 26. As for "what type of event..." you should probably look in your book, maybe they've given some definitions or classifications for types of events, and they want you to categorize this event as one of those.
 
  • #3
This is a binomial distribution. There are two outcomes, success or failure.

Expected Value = E(x) = n*p = 1*1/2 = 1/2
 

What is the difference between expected outcomes and total possible outcomes in probability?

Expected outcomes refer to the number of times a specific event is expected to occur in a given number of trials. Total possible outcomes, on the other hand, refers to the total number of possible outcomes in a given event, regardless of their likelihood.

How do you calculate the probability of an event?

To calculate the probability of an event, you need to divide the number of favorable outcomes by the total number of possible outcomes. This will give you a decimal or fraction that represents the likelihood of the event occurring. You can also multiply this number by 100 to get a percentage.

What is the difference between independent and dependent events?

Independent events are those where the outcome of one event does not affect the outcome of another event. Dependent events, on the other hand, are events where the outcome of one event does affect the outcome of another event.

How do you determine the sample space of an event?

The sample space of an event refers to all the possible outcomes of that event. To determine the sample space, you need to list out all the possible outcomes and make sure each outcome is mutually exclusive and collectively exhaustive. This means that each outcome cannot happen at the same time and that all possible outcomes are accounted for.

What is the importance of understanding probability in scientific research?

Understanding probability is crucial in scientific research as it helps in making predictions and drawing conclusions based on data. It also allows researchers to test hypotheses and determine the likelihood of events occurring. Probability is also used in statistical analyses to determine the significance of results and make informed decisions based on data.

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