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How do theoretical probability and experimental probability relate?
Take for example, flipping a coin. Theoretically, if I flip it, there is a 50% chance that I flip a head and a a 50% chance that I flip a tail. That would lead us to believe that out of 100 flips, there should theoretically be 50 heads and 50 tails. But if you actually try this out, this may not be the case. What you actually get, say 46 heads and 54 tails, is the experimental probability. Thus, experimental probability differs from theoretical probability by the actual results. Where theoretical probability cannot change, experimental probability can.
You roll a pair of dice until you get doubles What is the probability that you get doubles in three or fewer rolls?
! So first of all we need to calculate the probability of the base event, that is to get a pair when rolling 2 dice. This is quite simple and we can see it in 2 ways. a) We throw the first dice, regardless of what it comes up as, we have 1 in 6 chanses that the second dice matches it i.e probability = 1/6 b) There are 6*6 possible out comes when rolling two dice. Out of those we can get pair of 1s, pair of 2s , pair of 3s, pair of 4s, pair of 5s or pair of 6s. That is 6 pairs out of 36 total = 1/6 probability. Now about making a sequence of throws. The probability of us making the pair in the first throw is as the basic event = 1/6. If we make it we dont continue and have reached our goal! If we dont get a pair (proability 1-1/6 = 5/6) we continue and make our second throw. Again we have a 1/6 chanse, so in total that we make it in exactly the 2nd throws is 5/6 (miss)*1/6 (hit) = 5/36. If we dont make it , we continue again. Now our chance in making it in exactly the 3rd time is 5/6 (miss)*5/6 (miss again) *1/6 (hit) = 25/216. So the probability of making a pair in three or fewer rolls is the sum of the above, so 1/6 + 5/36 + 25/216 = 91/216 = 0.42 (roughly) Another way when you have established the probability of a single action to find how many repeats you need is to use the Binomial or Poisson distribution (look it up). Best Regards
What is the probability that 4 randomly selected people all have different birthdays?
Let us assume that there are exactly 365 days in a year and that birthdays are uniformly randomly distributed across those days. First, what is the probability that 2 randomly selected people have different birthdays? The second person's birthday can be any day except the first person's, so the probability is 364/365. What is the probability that 3 people will all have different birthdays? We already know that there is a 364/365 chance that the first two will have different birthdays. The third person must have a birthday that is different from the first two: the probability of this happening is 363/365. We need to multiply the probabilities since the events are independent; the answer for 3 people is thus 364/365 × 363/365. You should now be able to solve it for 4 people.
What is the probability of picking a jack or a black three in one pick from a deck of cards?
Well there are six possibilities, the four jacks and the two black threes. This gives us a fraction of 6/52 which is a percentage of 11.54%
A coin is tossed and then a dice is rolled Find the probability of getting a 5 on the dice given that the coin landed tails up?
1/6 because there are six sides to a dice and we already know the coin landed tails up so that takes that equation out of the picture. otherwise we would be left with figuring the probability of the coin and the dice, but since the question tells us that the coin landed tails up the answer will then be 1/6
Where would an asteroid hit in the US?
No telling. It could hit anywhere.
How do you deal with an asteroid?
You don't. If a large enough asteroid is going to hit us that will destroy life on earth there is nothing that can be done. Hollywood story's to the contrary.
Did an asteroid hit the US?
No, as of now, there is no record of any recent asteroid impact in the United States. Astronomers closely monitor potentially hazardous asteroids, and none are currently predicted to strike the US.
Is a big asteroid more harmful than a small one?
No asteroid is at all harmful to us or to Earth unless our planet and the Asteroid draw unusually close together. If that were to happen, then yes, you'd have to say that for a close encounter of any given distance, the probability of unpleasant results would vary roughly in proportion to the asteroid's physical size.
What is 1 of the greatest benefits of meteorology?
Know when a giant asteroid will hit us... in 2 years mark your calendar.
How might the occultation of a star by an asteroid tell us weather the asteroid has an atmosohere?
If there is an atmosphere, the light will gradually dim as the asteroid approaches the asteroid.
What are the methods to avoid collision of asteroid of 50metres with earth?
You cannot "avoid" a collision; if the asteroid is headed this way, it will hit. They aren't steerable. Give us another 50 years or so, and perhaps we would be able to prevent it.
What came first warm air or cold air?
cold air because we didn't have any sun hitting down on us. we did when the asteroid hit the earth.
Asteroid headed towards U.S.?
There are systems in place to track asteroids and assess their potential impact on Earth. If an asteroid were predicted to be on a collision course with the U.S., authorities would work to coordinate plans for mitigating the impact. Options could include deflecting the asteroid's path or evacuating affected areas depending on the size and trajectory of the asteroid.
Is the earth goining to end?
At one point in time, definitely. many of us would think that if the asteroid is going to hit our earth, then it will be the end. Yes it would be the end of us, but our earth may still live on. (like with the dinosaurs).
Is an asteroid going to hit you?
The odds of that are about 100 million to one. Of course, there 300 million people in the United States now, so the odds are that three of them are going to get it. No, seriously, there is a very low probability of an asteroid striking a person - although smaller meteors do hit people occasionally. A boy in Germany was hit in the hand by a meteor half the size of a pencil eraser just last year. (He's fine.) The problem is that when an asteroid hits, it won't hit ONE person; it will hit many, depending on the size of the asteroid. An asteroid the size of a large house exploded 30 miles above Indonesia in broad daylight last year; the explosion was as powerful as an atomic bomb. Had the asteroid made it to the Earth, it might have been devastating. But no one was injured; we got lucky! Someday, we won't be. An asteroid will be heading straight to the Earth, just like the asteroid about 10 miles across that struck the Yucatan Peninsula in Mexico, 65 million years ago. THAT one killed off all the dinosaurs, and killed off almost every large animal of any kind. It was a lucky thing for us; we tiny mammals wouldn't have had a chance against a dinosaur. But mammals - mammals that lead to apes and eventually humans - got a chance to thrive because the dinosaurs were gone. But what goes around, comes around; next time, it may be our turn. But if we develop our technology enough, we may - if we want to live - develop rockets and technology that will allow us the find those asteroids BEFORE they strike, and either divert them or destroy them. I foresee a time 200 years from now when mankind will welcome an incoming asteroid; it'll be raw materials for the metal mines of the Lagrange-5 Station, and we won't have to go GET it. We'll catch it, break it up, and turn it into bigger spacecraft and space habitats. Because if we can't - then humans will be done, and some other species will rise up to replace us.
What happens when an asteroid gets close to earth?
We keep an eye on it and hope that it will miss us. Apart from that, there isn't much that we can do. Despite what is seen in various science-fiction films, there is no way we can divert or destroy an asteroid big enough to cause mass destruction with our current technology. All the space shuttles that could be used for such a task have been decomissioned and NASA deleted the blueprints for them in a 'spring-clean.' Even if we could deliver nuclear devices, their potency is very limited in space and rock is incredibly hard to break apart in the quantities found in threatening asteroids. Fortunately, Earth is a very small planet and the universe is a very big place, so the chances of being hit by an asteroid are miniscule.
