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Amelia Bingham

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Q: A binomial trial is one in which there are four possible outcomes.?
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What are four requirements for binomial distribution?

A binomial experiment is a probability experiment that satisfies the following four requirements:1. Each trial can have only two outcomes or outcomes that can be reduced to two outcomes. These outcomes can be considered as either success or failure.2. There must be a fixed number of trials.3. The outcomes of each trial must be independent of each other.4. The probability of a success must remain the same for each trial.


There is a spinner with three sections on it If you spin it four times how many possible outcomes are there?

There are 3 possible outcomes for each spin of the spinner. To find the total number of possible outcomes after spinning it four times, you would multiply the number of outcomes for each spin (3) by itself four times (3^4), resulting in 81 possible outcomes.


Four coins are tossed. How many outcomes are possible?

8 outcomes are possible in this situtation. You just have to multiply 4 by 2 to get the answer.


What is the size of the sample space for all the outcomes possible from rolling four dice?

There is 6 possible outcomes per roll of a die. So, there are 6*6*6*6 outcomes or 64 or 1296 possible outcomes.


What is binomial distribution?

For an experiment to be classified as a binomial distrbution four critiria have to be met:There must be a fixed number of trials which is denoted by n.Each trial only has two possible outcomes. One is labeled success and the other is failure.the probably of success is p. The probably of failure is 1-pFinally, the trials must be independent of one other (the outcome of one trial does not affect the outcomes of any other trial.)An example of a binomial experiement is flipping a coin.You can set a fixed number of trials. In this case, flipping a coin 3 times.You label head as success and tails as failure.The probability of heads is p=0.5; the probability of tails is 1-p = 1-0.5 = 0.5.Getting heads on the first flip, doesn't change the probability of flipping heads again on the second. Thus the trials are independent.


How many possible outcomes are there when you roll four dice?

1,296


How many possible outcomes are there if Four coins are flipped?

16


If you flip a coin 2 times how many possible outcomes are there How many combinations?

Four outcomes, three combinations.


How many possible outcomes if each coin is flipped once?

We use three coins (quarter, nickel, dime) each are flipped only once. We get 8 possible outcomes (or four outcomes as an alternative).


If you toss a coin four times how many possible outcomes are there?

24 or 16


What is the outcome if two coins are tossed and one number cube is rolled?

Let's call one coin A and the other B. omes The possible outcomes for the coins are; A heads and B tails, A tails and B heads, A and B heads, A and B tails. That's four outcomes. The possible outcomes for a single die (as in dice) are six since a die has six faces, So four times six is twenty four possible outcomes.


What is the probability of getting at least 2 heads in three flips of a fair coin?

In three flips of a fair coin, there are a total of 8 possible outcomes: T, T, T; T, T, H; T, H, T; T, H, H; H, H, H; H, H, T; H, T, H; H, T, T Of the possible outcomes, four of them (half) contain at least two heads, as can be seen by inspection. Note: In flipping a coin, there are two possible outcomes at each flipping event. The number of possible outcomes expands as a function of the number of times the coin is flipped. One flip, two possible outcomes. Two flips, four possible outcomes. Three flips, eight possible outcomes. Four flips, sixteen possible outcomes. It appears that the number of possible outcomes is a power of the number of possible outcomes, which is two. 21 = 2, 22 = 4, 23 = 8, 24 = 16, .... Looks like a pattern developing there. Welcome to this variant of permutations.