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A fair coin is continually flipped What is the probability that the first four flips are a. H-H-H-H b. T-H-H-H c. what is the probability that the pattern T-H-H-H occurs before the pattern.?
Wiki User
∙ 11y ago
a) 1/16
b) 1/16
c) 1/256 [this answer was given, but it is unclear what part-c is even asking: The pattern occurs before what pattern? There are many variables which are unspecified and would affect the outcome.]
Wiki User
∙ 11y ago
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Before 1857 How many universities on western pattern were established in India?
None of Above
What is the Monty Hall Paradox?
The Monty Hall Paradox, or Monty Hall Problem, is a probability problem where the intuitive solution is not the correct solution, because the intuitive solution fails to consider that two sequential events might be related.Pretend that you are on "Lets Make a Deal", and you get to the grand prize. You choose one of three doors. Behind two of them is a goat, and behind the third is a new car. You choose one door. Before opening that door, Monty opens a different door, revealing a goat. Now he offers you the chance to change your mind. Is it in your best interest to stick with your original choice, or to change to the other as yet unopened door?Intuitively, it would seem that the second choice involves a 50-50 chance. If that were true, then it would not matter if you changed your mind or not.In truth, however, it does matter - it is better to change your mind - because the probability of getting a car by not changing is 1 in 3, while the probability of getting a car by changing is 2 in 3.The reason this is so is that this is an example of sequential probability. In other words, the outcome of the second trial is dependent on the first, and that changes everything, so to speak.In this particular example, the location of the car does not change. Your original guess had a 1 in 3 probability of being correct. That means that you had a 2 in 3 probability of being wrong. If you flip that over, you see that you have a 2 in 3 probability that the car is in some door other than the one you first picked.Now, just because Monty opened a door, it does not mean the original probabilities have changed. The probability that your first choice is a car is 1 in 3, and the probability that the remaining closed door has a car is 2 in 3.Comment: There's an important thing missing in that answer. Those probabilities only apply when Monty knows what's behind the doorsand deliberately reveals a goat.If Monty had opened a door just by chance, then both remaining doors would indeed have an equal chance of hiding the car.
What is the name of the old corny comedy movie that had a gag line A Horse Of A Different Color which showed a visual of a horse changing colors?
The horse of a different color was a character in The Wizard of Oz. It was a horse that continually changed colors. This is the most famous instance of that phrase being used, and it was an early film, but surely the phrase existed before than and was probably spoken in earlier films.
Why is the Monty Hall paradox true?
The Monty Hall paradox is true because it is actually not a paradox, it is a case of misdirection and/or misunderstanding that probabilities do not change just because you open a door.Restating the problem:You are in a game show with Monty Hall. You have three doors to choose from. Behind one door, there is a car. Behind the other two doors, there are goats. You choose a door. Just then, Monty spices things up by opening one of the other doors, to reveal a goat. He then give you an opportunity to change your mind and pick the third door. Is it in your best interest to stay with your original choice, or to change to the third door?The answer is that you should change your mind. The odds of getting a car will double if you do that.The misunderstanding is in not realizing that the probability distribution did not change just because Monty opened that door. One could, erroneously, think that "now, we have a 50-50 chance, and it does not matter if you change your mind". Wrong.Look at the original problem. There is a 1 in 3 chance that the car is behind any of the three doors, and there is a 2 in 3 chance that the goat is behind any of the three doors.Expand your thinking a bit... There are three sets of two doors; door AB, door AC, and door BC. The probability that the car is behind one of those three sets of two doors is 2 in 3. If you do not understand that, stop, and think again. Don't go forward until you agree.Now. You picked a door. The probability that you picked the car is 1 in 3, and the probability that you picked a goat is 2 in 3. More importantly, if the probability that the car is behind your door is 1 in 3, then the probability that it is behind one of the other two doors must be 2 in 3. Again, make sure you understand this before proceeding.Now. Monty opened one of the other two doors, revealing a goat. Quick; what is the probability that the car is behind your original door? It is 1 in 3. That did not change. Since the sum of the probabilities must be 1, then there is still a probability of 2 in 3 that the car is behind one of the other two doors.But you know that one of the other two doors has a goat. Right? Your door is still 1 in 3. Therefore, the probability that the car is behind the third door is 2 in 3. Your odds of getting the car doubled from 1 in 3 to 2 in 3 by changing your mind.Comment: Those probabilities only apply when Monty deliberately reveals a goat. So, hehas to knowwhat's behind the doors.If he just opened a doorat random,then the 2 remaining doors would indeedleave you with a 50-50 choice.
What color is Spongbob's hat?
He has several different hats. When he sleeps he either wears a pink hat or a green hat. When he works he wears a Black and White hat. But he may wear a hat that you've never seen before on an episode.
What is the experimental probability of head and one tails appearing 106 times?
You can find a 'theoretical probability' or a 'mathematical probability' witha pencil and paper. But the only way to find an experimental probabilityis to do the experiment.(Also, before you do the experiment, you really need to define the 'successfuloutcome' a little more clearly. Like, what does "head and one tails" mean, howmany coins are being flipped for each trial, and how many trials will there be ? )
What happens if a player that is all-in flipped his cards over before all bets were placed?
Nothing, his cards stay flipped over.
What is prior probability?
Prior probability is the probability that is assessed before reference is made to relevant observations.
In Magic the Gathering If you have a flipped Nezumi Graverobber can you attack on the first turn after he is flipped?
Yep, just as long as he didn't have summoning sickness before flipping.
Is a face-down monster flipped face-up if attacked by a monster?
The monster will be flipped face-up at the beginning of the Damage Step. If the attacking monster is destroyed or switched to defence position before this, the defending monster is not flipped, as there is no Damage Step.
What is it called when a word can be flipped around and still be the same as it was before?
The term for a word that can be flipped around and still read the same is "palindrome." Examples include "racecar" and "madam."
What speed was Richard Hammond going when the jet-powered car he was driving for Top Gear flipped over in 2006?
He was travelling at 288 mph/463 kmph when the tire exploded before the car flipped.
What is the probability of getting a run of three consecutive heads before a run of two consecutive tails when tossing a fair coin over and over?
The probability of getting a head first time is one out of two, or a half. The probability of getting a head the next time is still one out of two, so the combined probability is one quarter. Similarly, one eighth is the probability of getting three in a row; but the pattern does not end there, the probability of getting a tails the next time is STILL one in two, so that is a one in sixteen chance of that run, the probability of the entire sequence is therefore one in thirty-two.
If you alternate between flipping a coin and rolling a die what is the probability of rolling a 2 before flipping a heads?
The probability of rolling a 2 on a die before flipping a heads on a coin is 1 in 12. The probability of rolling a 2 is 1 in 6. The probability of flipping heads is 1 in 2. Since these are sequentially unrelated events, you simply multiply the probabilities together.
What is theoretical probability of picking 2 squared numbers out of 15?
The answer depends on whether the first number is replaced before picking the second. If not, the probability is 0.029
What is a Single piece of information also called binits?
Information is inversely proprotional to the probability of an event before the event happens. An information atom is 1 / log base 2 of the probability of the event before it happened.
Did Blaise Pascal invent probability?
No, it was known several thousand years before him.
