Statistics
Probability

# If a coin is tossed 3 times what is the probability of getting 2 and only 2 heads?

###### Wiki User

This is a problem concerning binomial probability distribution.

If you have three coins, each one can land heads or tails. (We will ignore the remote chance that a coin will land on its edge.) Each coin has an equal probability of landing heads or tails. In other words, each coin has two possible states. Since there are three coins, there are 2 x 3 = 6 possible states. We can easily see what they are with a table:

HHH

HHT

HTH

HTT

THH

THT

TTH

TTT

Three of those possible eight states contain two and only two heads. So the probability of throwing any of those three states is three in eight, or 3/8 = 0.375.

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## Related Questions

### A coin is tossed five times find the probability of getting exactly three heads?

Since a coin has two sides and it was tossed 5 times, there are 32 possible combinations of results. The probability of getting heads three times in 5 tries is 10/32. This is 5/16.

### When a coin is tossed three times what is the probability of getting at most two heads?

The opposite of getting at most two heads is getting three heads. The probability of getting three heads is (1/2)^2, which is 1/8. The probability of getting at most two heads is then 1 - 1/8 which is 7/8.

### If a coin is tossed 4 times and heads comes up all 4 times the probability of getting heads on the fifth try is?

0.5, 1/2, 50% The probability for heads versus tails does not change based on the amount of times the coin is tossed. It will always be a 50% chance.

### Tiree tossed a coin 100 times and got 70 heads. how does her probability compare to the mathematical probability?

The mathematical probability of getting heads is 0.5. 70 heads out of 100 tosses represents a probability of 0.7 which is 40% larger.

### What is the probability of getting heads only once if a fair coin is tossed 4 times?

There is 24 or 16 outcomes. There is 4 ways to get heads once (HTTT &amp; THTT &amp; TTHT &amp; TTTH). So, the probability of getting heads only once if a fair coin is tossed 4 times is 4/16 or 1/4.

### If a coin is tossed 5 times what is the probability of getting 5 heads?

If a fair coin is tossed 5 times, the probability of getting 5 heads is:P(H,H,H,H,H) = (1/2)5 = 1/32 = 0.03125 = 3.125% &acirc;&permil;&circ; 3.1%

### If you tossed a coin 1000 times what is the probability the 785th toss is heads?

The number of times a coin is tossed does not alter the probability of getting heads, which is 50% in every case, as long as the coin has not been rigged (i.e., a double-headed coin, a weighted coin) to alter the result.

### What is the probability of getting 3 heads and 3 tails if a fair coin is tossed 6 times?

only about 75% because very often it is not equal The probability of 3 heads and 3 tails is 0.3125

### What is the probability that exactly two times head are being tossed?

The answer depends on how many times the coin is tossed. The probability is zero if the coin is tossed only once! Making some assumptions and rewording your question as "If I toss a fair coin twice, what is the probability it comes up heads both times" then the probability of it being heads on any given toss is 0.5, and the probability of it being heads on both tosses is 0.5 x 0.5 = 0.25. If you toss it three times and want to know what the probability of it being heads exactly twice is, then the calculation is more complicated, but it comes out to 0.375.

### If a fair coin is tossed ten times what is the probability of getting five heads?

The probability of getting five heads out of 10 tosses is the same as the probablity of getting five tales out of ten tosses. One. It will happen. When this happens, you will get zero information. In other words, this is the expected result.

### What is the probability that a coin that is tossed 10 times what is the probability of it landing on heads 10 times?

The probability is 0.09766%.Each toss has a &frac12; chance to be heads. To combine probabilities use multiply them. So the probability to get two heads out of two tosses is &frac12; * &frac12;, and three heads out of three tosses is &frac12; * &frac12; * &frac12;. So the exact answer is 0.5^10

### What is the probability of getting exactly 3 heads if a fair coin is tossed 8 times?

The probability to get heads once is 1/2 as the coin is fair The probability to get heads twice is 1/2x1/2 The probability to get heads three times is 1/2x1/2x1/2 The probability to get tails once is 1/2 The probability to get tails 5 times is (1/2)5 So the probability to get 3 heads when the coin is tossed 8 times is (1/2)3(1/2)5=(1/2)8 = 1/256 If you read carefully you'll understand that 3 heads and 5 tails has the same probability than any other outcome = 1/256 As the coin is fair, each side has the same probability to appear So the probability to get 3 heads and 5 tails is the same as getting for instance 8 heads or 8 tails or 1 tails and 7 heads, and so on

### If a coin is tossed 5 times what is the probability of getting tails no more then 2 times?

The probability is 0.5The probability is 0.5The probability is 0.5The probability is 0.5

### What is the probabilty if a coin is tossed three times?

The probability of the coin coming up heads each time is 1/8; likewise for 3 tails. The probability of getting 2 heads and 1 tail (in any order) or 2 tails and 1 head, is 3/8. There are lots of other events whose probability can be calculated when a coin is tossed 3 times, but the question doesn't specify what event is to have its probability calculated.

### Can someone give me one interesting fact about probability?

If you have tossed a fair, balanced coin 100 times and it has landed on HEADS 100 consecutive times, the probability of tossing HEADS on the next toss is 50%.

### What is the probability of flipping a coin 3 times and getting 3 heads?

The probability of flipping a coin 3 times and getting 3 heads is 1/2

### Assume a coin is tossed 100 times what is the probability of seeing 50 heads?

If the coin is fair and balanced, like Fox, then the probability is 50%.

### A coin is tossed 100 times how many times would you expect to get heads?

The probability of a heads is 1/2. The expected value of independent events is the number of runs times the probability of the desired result. So: 100*(1/2) = 50 heads

### If a coin is tossed 5 times what is the probability it will land on heads?

There is a 50% chance that it will land on heads each toss. You need to clarify the question: do you mean what is the probability that it will land on heads at least once, exactly once, all five times?

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