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This is the number of selected outcomes divided by the total number of possible outcomes It is a number between 0 and 1 including 0 and 1?
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∙ 14y ago
Probability
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∙ 14y ago
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If you have a spinner nunbered 1 to 5 what are the possible equally likely outcomes?
If the lines between the sections had no width: 20% of Landing on 1, 20% on 2, 20% on 3, 20% on 4 and 20% on 5.
Which gas law shows an indirectly proportional relationship between its variables?
Boyle's law, for selected variables. Not pressure and temperature, for example.Boyle's law, for selected variables. Not pressure and temperature, for example.Boyle's law, for selected variables. Not pressure and temperature, for example.Boyle's law, for selected variables. Not pressure and temperature, for example.
If you flip a coin 8 times how many possible outcomes are there?
The following notes answer the above question completely and neatly. It's better in maths to try to keep it simple.Looking at the different possible outcomes; let H = Head and T = Tail. Then the different possible outcomes are (8H +0T) meaning 8 Heads and Zero Tails, or (7H + 1T) or (6H + 2T) or (5H + 3T) or (4H + 4T) or (3H + 5T) or (2H + 6T) or (1H + 7T) or (0H + 8T) giving 9 different outcomes (possibilities).The 9 different outcomes are not equally probable, (8H + 0T) and (0H + 8T) are the least likely while (4H + 4T) will be the most likely. However, totaling all possible outcomes there are 256.----------------------------------------------------------------------------------------------There are 256 possible "histories" of the whole session, corresponding tothe number of possible values of one binary 'byte', where each flip fills inone bit of the byte.----------------------------------------------------------------------------------------------Another Answer:As is usual in science, the answer depends on how you look at the problem, and on your definition of the terminology that you use. Nine different outcomes, as described above, is correct when you decide to consider only distinguishable or, more, correctly, combinatorial, outcomes.However, in statistics and probability, we don't usually deal with combinations, we deal with permutations, because looking at permutations allows you to see the indistinguishable outcomes, outcomes which do, in fact, affect the probability of the result.In this case, throwing a coin 8 times (or with identical results, throwing 8 coins one time), there are multiple permutations that yield the same combination. For instance, there are eight permutations of one coin being heads, there are 28 permutations of two coins being heads, and so on and so forth, leading up to a grand total of 256 different permutations of 8 coins, yielding "only 9 outcomes".So, in summary, there are 9 distinguishable "outcomes", or combinations, while there are 256 indistinguishable "outcomes", or permutations.(To clarify "indistinguishable", I should say that you could certainly mark each coin with a number, say from 1 to 8, and then you would be able to distinguish the outcomes or heads or tails as a function of which coin was thrown. Similarly, throwing only one coin at a time, you could write down the outcomes as they occur, and they would certainly be "distinguishable". In this context, "indistinguishable" simply means that, in the absence of some tracking system, a throw, for instance, of HTTTTTTT, or THTTTTTT, would not be different - they would both be counted as (1H + 7T), using the notation of the earlier answer.)Now, to nail this down for completeness sake, because the answer does matter, even though the question did not ask it, take a look at probability...Probability is simply the number of permutations of a desired result divided by the number of permutations of all results. Since there is one permutation of no heads (0H + 8T), the probability of no heads is 1 in 256, or about 0.00391. On the other hand, since there are 8 permutations of one head (1H + 7T), the probability of one head is 8 in 256, or about 0.0313. Going one more step, the probability of two heads is 28 in 256, or about 0.109.Understanding the distinction between combinations and permutations, and distinguishable versus indistinguishable, is key to understanding probability.
The difference between the greatest possible number and the smallest possible number?
Infinity.
Is it possible A multiple of 7 between 80 and90?
Yes, any numbers with a difference of 10 would have to have a multiple of 7 between them.
Probability can be defined as a ratio between the number of and number of possible outcomes?
yes it can be defined more commonly as a ratio between the number of and numbr of possible outcomes
What is the difference between possible outcomes and sample space?
A possible outcome is an element of the outcome space. All possible outcomes make up the outcome space.
Probability can be defined as a between the number of successes and number of possible outcomes?
ratio
Why is the probability measured as a number between zero and one?
Probability is the ratio of no. of possible outcomes to the maximum no. of outcomes . If any event doesnt occurs ,then it is 0/N,where N=maximum no of outcomes .and that is 0 itself ,hence that is signified by zero ,or will at max, all the possible outcomes wil occur ,which means N/N that is denoted by 1. Hence probabilty for the occurance for any event is between 0 and 1.
What does it mean for probability to be exhaustive?
A set of events is said to be exhaustive if, between them, they cover all possible outcomes.
If you flip 5 coins how many possible outcomes are there?
If each coin is a different color, then there are 32 possible outcomes. If you can't tell the difference between the coins, and you're just counting the number of heads and tails, then there are 6 possible outcomes: 5 heads 4 heads 3 heads 2 heads 1 heads all tails
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.
What is the probability of pulling out one card and it being between a 2 and a 5 inclusivley?
There are 16 favourable outcomes out of 52 possible outcomes. So probability = 16/52 = 4/13 or 0.3077 (to 4 dp)
Why do polls have different outcomes?
Because they are based on samples and outcomes vary between different samples.
What are the differences between mathematics and programming?
Mathematics suggests infinite calculations, requiring smart algorithms. Programming limits possible calculations, producing probable outcomes.
When two dice are rolled the probability of getting a sum between 5 and 11?
With 2 six-sided dice, there are 36 outcomes. The answer will depend on the meaning of between. First, here's a table of the number of possibilities to obtain each sum:sum 2: 1 possibility ( 1+ 1)sum 3: 2 possible ( 1+2) (2+1)sum 4: 3 possible (1+3) (2+2) (3+1)sum 5: 4 possible (1+4) (4+1) (2+3) (3+2)sum 11: 2 possible (5+6) (6+5)sum 12: 1 possible (6+6)So if between means 6 through 10, then add up all of the above and you have 13 outcomes which are not between 5 & 11. So there are (36-13=23) outcomes which are between.So the probability is 23/36. If you meant to include so that it was 5 through 11, then add 6 outcomes, so it is 29/36.
What are two requirements for a discrete probability distribution?
Not sure about only two requirements. I would say all of the following:there is a finite (or countably infinite) number of mutually exclusive outcomes possible,the probability of each outcome is a number between 0 and 1,the sum of the probabilities over all possible outcomes is 1.The Poisson distribution, for example, is countably infinite.
