There is a 1/16 probability that 5 tosses end with the same result - 1/32 that they are all tails. In this kind of example, most statisticians would not reject the hypothesis of a fair coin unless the probability was less than 5% or 1/20.
The null hypothesis is that the coin is a fair coin. If the alternative hypothesis is that something is wrong with the coin, the probability of a result such as the one observed (and its mirror image) is 6.25%. So you would not reject the null hypothesis at the 5% level.
However, if your alternative is that the coin favours tails, the probability of as extreme an outcome is 0.03125 or 3.125% and you would reject the null hypothesis.
This is a marginal case at the 5% level and you may wish to toss the coin a few more times to reduce the probability of the outcome occurring purely by chance.
The experimental probability of a coin landing on heads is 7/ 12. if the coin landed on tails 30 timefind the number of tosses?
If it is a fair coin then 50/50 or 1 chance in 2. The coin has no memory of the tosses that went before.
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
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.
three heads two head, one tails one heads, two tails three tails
The probability of two tails on two tosses of a coin is 0.52, or 0.25.
10 coins would be tails up.
Heads+Heads ; Heads+Tails ; Tails+Tails
0.5
heads and tails
The probability is 1/4
The probablility of getting 2 tails in 4 tosses of a fair coin is most likely 50%, 2/4=1/2, or .50.
The answer would be 7x7x7x7. 2401 to 1.
The chance is 50%-50% that it will be heads or tails; this does not change regardless of the number of previous tosses and their results.
The experimental probability of a coin landing on heads is 7/ 12. if the coin landed on tails 30 timefind the number of tosses?
It means just what it seems to -- someone tosses a coin up and you try to guess which side will be facing up when it lands. "Heads" is the side with the person's face on it and "tails" is other side.
50/50