![]() We at least know what the sample space is. Or you could even construct, once you know all of the possible outcomes even if they aren't equally likely, you could say well let's create a And it's very useful because, for example, if these areĮqually likely outcomes and you say well what's the probability of the event of a heads, you say okay that's one out of the ![]() That right over here is the sample space for the coin flip. ![]() So you could get a heads or you could get a tails. So if you're talking about a coin flip, well then the sample space is going to be the set of all the possible outcomes. If you're doing a trial, something that is probabilistic, a trial or an experiment, a sample space is just the And it's a pretty, hopefully you'll find, straightforward idea. To explore in this video is the notion of a sample space. The problem of small and chocolate is that the sample space is built on flavors and size, so chocolate small and small chocolate are really the same possibility rather than two distinct possibilities (he did two tree diagrams which show the 9 outcomes which just shows these are the same) What the is probability of flipping a coin twice and getting one heads and one tails? (1/2 because order does not matter)Īs to your second question which seems intuitive, the problem is that the sample space is created by flipping a coin twice, it just so happens that there are only two choices on a coin, so four possibilities (h first, h second)(h first, t second)(t first, h second) and (t first, t second) - the ht and th are not just interchanged, they are 2 different possibilities What is the probability of flipping a fair coin twice and getting a heads then a tails? (1/4 because order does matter) The difference can show up most easily in the question asked, for example, Yes there is a difference between HT and TH in that a coin (or two coins) are being flipped ![]()
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