In 34 or fewer tosses, the answer is 0. In infinitely many tosses, the answer is 1. The answer depends on the number of tosses and, since you have chosen not to share that critical bit of information, i is not possible to give a more useful answer.
10 coins would be tails up.
Theoretically, if you have a fair coin, the chances of landing on heads after 1000 tosses is 500, since there are only two outcomes, heads or tails, and each outcome is equally likely. Experimentally, however, the number of times the penny would turn up heads is any number from 1 to 1000, including 1 and 1000 (although these are very unlikely outcomes). The most likely outcome is a number very close to 500.
Each time you toss two pennies, there are four ways they can land: H H H T T H T T One of the four ways is (Heads - Heads), so the probability of 2 heads is 1/4 or 25% . If the pennies are 'fair' (not loaded), and you toss them a large number of times, you should expect 2 heads roughly 1/4 of the time. Out of 20 tosses, that's 5 times. But don't bet on it.
The law of large numbers infers you will have 50% heads.
heads and tails
Theoretical probability = 0.5 Experimental probability = 20% more = 0.6 In 50 tosses, that would imply 30 heads.
In 34 or fewer tosses, the answer is 0. In infinitely many tosses, the answer is 1. The answer depends on the number of tosses and, since you have chosen not to share that critical bit of information, i is not possible to give a more useful answer.
This is a binomial probability distribution The probability of exactly 2 heads in 50 coin tosses of a fair coin is 1.08801856E-12. If you want to solve this for how many times 50 coin tosses it would take to equal 1 time for it to occur, take the reciprocal, which yields you would have to make 9.191019648E11 tosses of 50 times to get exactly 2 heads (this number is 919,101,964,800 or 919 billion times). If you assume 5 min for 50 tosses and 24 hr/day tossing the coin, it would take 8,743,360 years. That is the statistical analysis. As an engineer, looking at the above analysis, I would say it is almost impossible flipping the coin 50 times to get exactly 2 heads or I would not expect 2 heads on 50 coin tosses. So, to answer your question specifically, I would say none.
This is a binomial probability distribution The probability of exactly 2 heads in 50 coin tosses of a fair coin is 1.08801856E-12. If you want to solve this for how many times 50 coin tosses it would take to equal 1 time for it to occur, take the reciprocal, which yields you would have to make 9.191019648E11 tosses of 50 times to get exactly 2 heads (this number is 919,101,964,800 or 919 billion times). If you assume 5 min for 50 tosses and 24 hr/day tossing the coin, it would take 8,743,360 years. That is the statistical analysis. As an engineer, looking at the above analysis, I would say it is almost impossible flipping the coin 50 times to get exactly 2 heads or I would not expect 2 heads on 50 coin tosses. So, to answer your question specifically, I would say none.
It depends on the definition of an outcome. If you care about the order of the tosses, <br /> you get 2 possible outcomes per toss. Three tosses give you 2*2*2=8 possible outcomes. If you only care about the final number of heads and tails, there are 4 possible outcomes (3 heads, 2 heads and a tail, a head and two tails, or 3 tails).
10 coins would be tails up.
Whenever you are trying to figure out the answer to an outcome problem, you just multiply how many sides it has by how many times you are tossing the coin.... 2 x 6 = 12 times.===================================Very reasonable. Warm, fuzzy, and intuitively satisfying. But, sadly, wrong.Every toss of a coin has 2 possible outcomes.If you write down the results of 6 tosses like: H T T H T H with an 'H' for each headsand a 'T' for each tails, the number of different patterns you could write down forsix tosses is2 x 2 x 2 x 2 x 2 x 2 = 64 .If you don't care about the sequence, and you just want to know how manydifferent splits of 'heads' vs 'tails' you could get in 6 tosses, then there are sevendifferent possible outcomes:-- no heads, 6 tails-- 1 heads, 5 tails-- 2 heads, 4 tails-- 3 heads, 3 tails-- 4 heads, 2 tails-- 5 heads, 1 tails-- 6 heads, no tails
It could land on heads any number of times between zero and 150.The most probable result, if the coin is honest and balanced, is 75 times.
For a coin toss, there are 2 possible outcomes (heads or tails). For five tosses, therefore, there are 25 possible outcomes (25 = 32). However, this assumes that order is important (i.e. that HtttH is different to tHtHt). If you don't care what order the heads or tails fall in, there are only 6 outcomes.
Theoretically, if you have a fair coin, the chances of landing on heads after 1000 tosses is 500, since there are only two outcomes, heads or tails, and each outcome is equally likely. Experimentally, however, the number of times the penny would turn up heads is any number from 1 to 1000, including 1 and 1000 (although these are very unlikely outcomes). The most likely outcome is a number very close to 500.
Each coin toss has a 50/50 chance of being heads. No matter how many times, because each coin toss is a new event. There is no relation between what the results were between any 2 tosses.