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Three outcomes are possible: THH or HTH or HHT, so the probability of getting exactly 2 heads from three tosses of a fair coin is 3x0.53=0.375

In general, the number of different ways of getting k heads from n coin tosses is given by n! / ( k! x (n-k)! ), which is known as the binomial coefficient. The "!" notation is "the factorial"; for some number s, s! = s x (s-1) x (s-2) ... 2 x 1, so that 3! = 3x2x1, 5! = 5x4x3x2x1 and so on.

Thus your question can be answered by replacing n and k in the formula above, such that the number of ways is 3! / ( 2! x 1!) = 3. This is true for all experiments where you perform some experiment with two possible outcomes n times and record how many times one of the events occurs. Another typical example would be the number of times you roll a 4 after 10 rolls of a dice, and there are 10! / 6!x4! = 210 ways of doing this.

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What is the outcome of picking a month of the year and tossing a coin?

There are 24 possible outcomes: January-Heads, January-Tails, February-Heads, February-Tails, March-Heads, and so on.


What are the Possible outcomes of tossing four coins at once?

Each coin can come out either heads (H) or tales (T). Since you're tossing four coins at once, I'm assuming there is no sense of order to be accounted for. In that case, the possible outcomes are the following: HHHH HHHT HHTT HTTT TTTT


In tossing 10 coins the probability of getting exactly 5 heads is?

252/1024 or 0.246. One method of calculating it is this: The total number of outcomes possible by tossing a coin 10 times is 2 to the 10th, which is 1024. In addition, getting 5 heads in 10 tosses is like arranging 5 identical objects in 10 spaces (the remaining 5 spaces are by default Tails), which can be done in 10C5 ways, which is 252. So the probability of getting 5 heads is 252/1024.


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 theoretical probability of tossing two coins?

Tossing two coins doesn't have a probability, but the events or outcomes of tossing two coins is easy to calculate. Calling the outcomes head (H)or tails (T), the set of outcomes is: HH, HT, TH and TT as follows: 2 heads = (1/2) * (1/2) = 1/4 1 head and 1 tail, can be heads on first coin tails on second, or just the opposite, there's two possible events: (1/2)*(1/2) + (1/2)*(1/2) = 1/2 2 tails = same probability as two heads = 1/4

Related Questions

How many possible outcomes of tossing a coin 3 times have exactly 1 head?

The outcomes are: heads, tails, tails or tails, heads, tails or tails, tails, heads. You can see that there are 3 possible outcomes with exactly 1 head.


How many possible outcomes of tossing a coin 10 times have exactly 4 heads?

480


What is the number of possible outcomes when tossing 4 coins at once?

When tossing 4 coins at once, each coin has 2 possible outcomes: heads (H) or tails (T). Therefore, the total number of possible outcomes can be calculated as (2^4), which equals 16. This means there are 16 different combinations of heads and tails when tossing 4 coins.


How many possable outcomes of tossing one coin 3 times have exactly 2 heads?

3


Possible outcomes of tossing a coin?

Heads or tails; each have a probability of 0.5 (assuming a fair coin).


Assuming the sequences are all equally likely what is the probability that you will get exactly two heads when you toss a coin three times?

To find the probability of getting exactly two heads when tossing a coin three times, we first determine the total number of possible outcomes, which is (2^3 = 8). The favorable outcomes for getting exactly two heads are: HHT, HTH, and THH, totaling 3 outcomes. Therefore, the probability of getting exactly two heads is ( \frac{3}{8} ).


How many possible outcomes of tossing a coin 10 times have at least 2 heads?

There are 210 total possible outcomes from flipping a coin 10 times.There is one possible outcome where there are 0 heads.There are 10 possible outcomes where there is 1 head.So there are 210 - 11 possible outcomes with at least 2 heads.(1013)


What is the outcome of picking a month of the year and tossing a coin?

There are 24 possible outcomes: January-Heads, January-Tails, February-Heads, February-Tails, March-Heads, and so on.


How many possible outcomes when tossing 3 coins?

three heads two head, one tails one heads, two tails three tails


What are the odds of getting heads if I toss a coin twice?

There are 4 possible outcomes, HH, HT, TH, TT. If we assume the odds of tossing heads or tails on any toss is 1/2 (50:50) the odds of tossing heads twice in a row is 1/4 (or 25%).


What are the Possible outcomes of tossing four coins at once?

Each coin can come out either heads (H) or tales (T). Since you're tossing four coins at once, I'm assuming there is no sense of order to be accounted for. In that case, the possible outcomes are the following: HHHH HHHT HHTT HTTT TTTT


How many possible outcomes of tossing one coin 3 times have exactly 2 heads?

3 - hht, hth, thh I TRIED to use capital letters and got a "take the caps lock off". I have always used capital letters to indicate heads and tails, but the answer is 3.