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

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

24 or 16

Normally there would considered to be 2⁴ = 16 possible outcomes as each outcome is one of 2 states: Head or Tails. ------------------------- There is an extremely small probability that a normal coin will end up on its edge, which mean there are 3⁴ = 81 possible outcomes. However, this probability is so small that it is ignored and normally only 2 outcomes are considered possible. As the radius to width ratio of the coin changes, the probability of the coin ending up on its edge changes, for some values being so significant that it becomes a real probability that the edge can result, and for some ratios it is almost always the edge that results and the probability of head or tails (ie ends of the cylinder that is the coin) is so small as to be ignored like the edge for a normal sized coin (cylinder).

1/4

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

Related questions

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.

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

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

16

1,296

Four outcomes, three combinations.

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

24 or 16

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.

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.

Successful Recovery.

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.

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