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You think of each toss as having heads or tails, so there are two choices. If you toss the coin twice you have 4 choices HH, TT, HT and TH. The number of different coin tosses is 2^n ordered tosses and n+1 unordered. For example in two tosses, 2^2=4 ordered tosses if HT is different than TH and if HT is the same as TH then we have 2+1=3 different possible tosses.

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Q: What is one method for calculating the total number of outcomes in a sample space?
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How do you find the sample space of an experiment where you flip a coin 6 times and note the number of heads?

The sample space consists of all the possible outcomes. A flip of a coin has 2 outcomes, H,T. The total number of outcomes for 6 flips are 26 or 64.


Is it true the number of elements in the sample space of an event is equal to the total number of possible outcomes?

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The collection of all possible outcomes of an experiment is called?

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What is the difference between calculating the sample mean and the population mean?

You calculate the actual sample mean, and from that number, you then estimate the probable mean (or the range) of the population from which that sample was drawn.


Why do you divide by instead of when calculating the sample variance?

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Will Random sample always accurately predict the outcomes of an entire population?

No. Only a census can ACCURATELY predict the outcomes: a random sample cannot.


A set of outcomes are called what?

A set of outcomes are called results. All possible outcomes are referred to as the sample space.


How many outcomes are in the sample space for tossing two coins?

The sample space consists of the following four outcomes: TT, TH, HT, HH


What is the sample space for choosing a letter from the word probability?

11 * * * * * No, on two counts. The sample space is the possible outcomes of the experiment, not the NUMBER of possible outcomes. And, as far as this experiment is concerned, there is no way to distinguish between the two occurrences of b and i. So there are, in fact, only 9 possible outcomes. Two of these outcomes have a higher probability but that is a different matter. The sample space is {p, r , o , b, a, i, l, t, y} a set of cardinality 9.


List the sample space for flipping a coin and rolling a number cube?

The sample space for this situation is all the possible outcomes that could be achieved. Like H1, H2, H3, H4, H5, H6, T1, T2, T3, T4, T5, and T6 are the outcomes for flipping a Coin and rolling a number cube.


How many outcomes are in the sample space for drawing a card from a standard deck?

There are 52 outcomes.