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If you flip 10 pennies all at the same time what is the probability that exactly 3 will come up heads and 7 will come up tails?
Wiki User
∙ 11y ago
Almost 12 %
It's the same as flip a penny ten times.
There are 2^10 = 1024 different outcomes (each penny being either head or tail).
The ones we can 'use' are those with 3 heads.
Let '1' be head and '0' be tail:
0001010100 is a valid outcome - and 1110000000 as well.
So how many way can we arrange three 1's in ten spaces?
In 120 ways.
120 ways out of 1024 is the answer.
120/1024=0.1171875 = 11.71875 %
Wiki User
∙ 11y ago
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What is the probability in percent that a single coin toss will result in heads and tails?
The probability is 0%. The result will be heads or it will be tails but it cannot be heads and tails.
If a coin is tossed 3 times what is the probability of 3 heads?
There are 8 possible outcomes when a coin is tossed 3 times. Here they are:1. Heads, Heads, Tails.2. Heads, Tails, Heads.3. Tails, Heads, Heads.4. Heads, Heads, Heads.5. Tails, Tails, Heads.6. Tails, Heads, Tails.7. Heads, Tails, Tails.8. Tails, Tails, Tails.There is only one outcome that is heads, heads, heads, so the probability of three heads coming up in three coin tosses is 1 in 8 or 0.125 for that probability.
What is the probability of a coin landing on heads twice when it is flipped 3 times?
Your question is slightly vague, so I will pose a more defined question: What is the probability of 3 coin tosses resulting in heads exactly twice? This is a pretty easy question to answer. The three possible (winning) outcomes are: 1. Heads, Heads, Tails. 2. Heads, Tails, Heads. 3. Tails, Heads, Heads. If we look at the possible combination of other (losing) outcomes, we can easily determine the probability: 4. Heads, Heads, Heads. 5. Tails, Tails, Heads. 6. Tails, Heads, Tails. 7. Heads, Tails, Tails. 8. Tails, Tails, Tails. This means that to throw heads twice in 3 flips, we have a 3 in 8 chance. This is because there are 3 winning possibilities out of a total of 8 winning and losing possibilities.
What is the probability of a coin?
If you mean what is the probability of getting a heads/tails, it is a 1 in 2 chance (50/50 chance). You are just as likely to get a heads as you are to get a tails.
What is the probability of a coin landing on either heads or tails?
Since it is a certainty that a coin must land on either heads or tails, the probability must be 1.
If you flip 10 pennies all at the same time, what is the probability that exactly 3 will come up heads and 7 will come up tails?
It is 0.1172
What is the probability in percent that a single coin toss will result in heads and tails?
The probability is 0%. The result will be heads or it will be tails but it cannot be heads and tails.
What is the probability that a coin lands on its heads and tails?
The probability of the coin flip being heads or tails is 100%.
If a coin is tossed 3 times what is the probability of 3 heads?
There are 8 possible outcomes when a coin is tossed 3 times. Here they are:1. Heads, Heads, Tails.2. Heads, Tails, Heads.3. Tails, Heads, Heads.4. Heads, Heads, Heads.5. Tails, Tails, Heads.6. Tails, Heads, Tails.7. Heads, Tails, Tails.8. Tails, Tails, Tails.There is only one outcome that is heads, heads, heads, so the probability of three heads coming up in three coin tosses is 1 in 8 or 0.125 for that probability.
What is the probability of a coin landing on heads twice when it is flipped 3 times?
Your question is slightly vague, so I will pose a more defined question: What is the probability of 3 coin tosses resulting in heads exactly twice? This is a pretty easy question to answer. The three possible (winning) outcomes are: 1. Heads, Heads, Tails. 2. Heads, Tails, Heads. 3. Tails, Heads, Heads. If we look at the possible combination of other (losing) outcomes, we can easily determine the probability: 4. Heads, Heads, Heads. 5. Tails, Tails, Heads. 6. Tails, Heads, Tails. 7. Heads, Tails, Tails. 8. Tails, Tails, Tails. This means that to throw heads twice in 3 flips, we have a 3 in 8 chance. This is because there are 3 winning possibilities out of a total of 8 winning and losing possibilities.
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
What is the probability of tossing 4 pennies and landing on heads twice and tails twice?
4C2(1/2)4 = 6/16 = 3/8
What is the probability of a coin?
If you mean what is the probability of getting a heads/tails, it is a 1 in 2 chance (50/50 chance). You are just as likely to get a heads as you are to get a tails.
What is the probability of a coin landing on either heads or tails?
Since it is a certainty that a coin must land on either heads or tails, the probability must be 1.
Seven coins are tossed What is the probability of 3 heads or 2 tails?
The probability of one event or the other occurring is the probability of one plus the probability of the other. The probability of getting 3 heads is the probability of 3 heads (1/23) multiplied by the probability of 4 tails (1/24) multiplied by the number of possible ways this could happen. This is 7c3 or 35. Thus the probability of 3 heads is 0.2734375. The probability of 2 tails is the probability of 2 tails (1/22) multiplied by the probability of 5 heads (1/25) multiplied by the number of ways this could happen. That is 7c5 or 21. Thus the probability of 2 tails is 0.1640625 The probability of one or the other is the sum of their probabilities: 0.1640625 + 0.2734375 = 0.4375 Thus the probability of getting 3 heads or 2 tails is 0.4375.
What is the probability of tossing exactly three tails?
well it depends on what you are tossing, if its a coin then no. it can be heads too. it would have to be a great coincidence for it to be all tails, but thats why the word probability comes in meaning that there is more than one outcome
When you flip two coins why does it appear tails and heads more than heads and heads and tails and tails?
Because you are thinking permutations rather than combinations. There are four permutations of two coins, but there are only three combinations, because it does not matter which coin is heads and which coin is tails. As a result, the combination of heads and tails has a 0.5 probability, while two heads or two tails each have a 0.25 probability.
