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.
Actually, although it may seem like it, it is not 50-50. The answer's more like 55-45 This is because the 'head' side is heavier than the 'tails' side. So it is more likely to be tails 3 heads 1
If 10 coins are tossed, you could get 4 heads and 6 tails, 3 heads and 7 tails, 2 heads and 1 tail, 0 heads and 10 tails all giving fewer heads than tails. Using the binomial distribution , P(4 heads) = 10C4 (.5)^4 (.5)^6 = 0.205078. P(3 heads) = 10C3 (.5)^3 (.5)^7 = 0.117188 P(2 heads) = 10C2 (.5)^2 (.5)^8 = 0.043945 P(1 heads) = 10C1 (.5)^1 (.5)^9 = 0.009766 P(0 heads) =(.5)^10 = 0.000977 Adding all of these probabilities, we have P(fewer heads than tails)= 0.376953
Less. The more times the coin is tossed, the more likely it will reflect the actual odds of .5 heads and .5 tails.
The probability of heads is 0.5 or 1/2. This is wrong, the chances of a penny landing heads up is less than 0.5 because the cast in Lincoln's head weighs more than the tails side of the peeny.
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.
because it does.
Actually, although it may seem like it, it is not 50-50. The answer's more like 55-45 This is because the 'head' side is heavier than the 'tails' side. So it is more likely to be tails 3 heads 1
Not likely.
If 10 coins are tossed, you could get 4 heads and 6 tails, 3 heads and 7 tails, 2 heads and 1 tail, 0 heads and 10 tails all giving fewer heads than tails. Using the binomial distribution , P(4 heads) = 10C4 (.5)^4 (.5)^6 = 0.205078. P(3 heads) = 10C3 (.5)^3 (.5)^7 = 0.117188 P(2 heads) = 10C2 (.5)^2 (.5)^8 = 0.043945 P(1 heads) = 10C1 (.5)^1 (.5)^9 = 0.009766 P(0 heads) =(.5)^10 = 0.000977 Adding all of these probabilities, we have P(fewer heads than tails)= 0.376953
because it is easy to say and it sounds better than heads or eagles.
Less. The more times the coin is tossed, the more likely it will reflect the actual odds of .5 heads and .5 tails.
Is it? Let's say you flip a coin three times, and it comes up tails each time. You may state that from your experience, tails is preferred overwhelmingly. But three tails is likely to occur approximately 12% of the time, and three heads also will occur 12% of the time. So, instead of asking why coin flips are biased to the tails, perhaps it is better to ask what evidence exists showing that one side is more likely to occur than another. I couldn't find any. I attach the link on coin flips. In other words you will never know unless of course you count the seconds its in the air and look what side it lands on. That always works.
The probability of heads is 0.5 or 1/2. This is wrong, the chances of a penny landing heads up is less than 0.5 because the cast in Lincoln's head weighs more than the tails side of the peeny.
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
1/2. It doesn't matter if it's heads or tails, it's still 1/2. ====== If you are talking about the total result of flipping a coin 5 times, you have 31 chances out of 32 (more than 96 percent) that you will get something other than five tails.
Expirimental probability is when you use an expiriment to find the probability of a certain predicament. For example: Let's say you flip a coin 10 times. Before you flip you guess that you flip 5 heads and 5 tails or 1/2 heads and 1/2 tails. You guess this because one side is heads and the other side is tails so its an even risk. This is theoretical probability. When you actually do flip the coins you get, lets say, 8 heads and 2 tails. This would make your expirimental probability 4/5 heads and 1/5 tails. That is because you based the evidence on an expiriment rather than a guess. The longer the expiriment is, the more accurate your evidence will be.