Probability - Equally Likely Events (Tossing a Coin)

Probability – Equally Likely Events (Tossing a Coin)



we will look at just one interesting concept in this video and that is a coin toss you will not believe how interesting it is think about it when you toss a coin it will either land a head or a tail either head or tail all of us would agree that these are the only two possibilities suppose I ask you a simple question what is the probability of the coin landing ahead this question asks us that if we toss a coin what is the likelihood that the coin lands ahead how do we calculate it here's how there is only one way in which you can get a head the only way is if it lands ahead that's the first thing we had to find out to find this probability the second thing we need to find out is the total number of possibilities in total there are only two possibilities a head or a tail this number in the denominator is actually all possibilities these to cover all the possibilities since you cannot possibly get any other outcome you either get a head or a tail this tells you that out of the two possibilities there is only one way in which this event can occur so the probability of a coin landing ahead is 1 by 2 which is 1/2 this is a fraction and can also be written in decimal form as 0.5 the numerator tells you the number of ways in which an event can occur and the denominator is all possible events here is another question what is the probability of a coin landing a tail the logic is very similar there is only one way in which we can get a tail and the total possibilities are just two head or tail so the probability of getting a tail is also one-half look at these two events landing a head and landing a tail both have the same probability and since the probability tells us the likelihood of an event occurring such events are called equally likely events we say that getting a head of during a tale at the toss of a coin are equally likely events that's because the probability of occurrence is the same let's try and deduce a formula for the probability of an event in the numerator we have the number of ways in which an event can occur and in the denominator we have the total number of possible outcomes it just means how many possibilities out of the total possibilities this formula will be a lot clearer as we see more and more examples the formula is not important what's important is what we are going to see next what if there are 10 throws of a single coin I'm not talking about ten coins tossed simultaneously I'm talking about one point being tossed ten times since the events are equally likely does that mean that after ten throws we will surely get five heads and five tails this will not always be true you may get six heads and four tails or maybe nine heads and a tail or maybe even ten tails so what does this half essentially tell us it tells us that if the process of tossing a coin is repeated many many many times then we will get approximately the same number of heads and tails so if you toss a fair coin or million times you will see that you would get almost the same number of heads and tails remember the probability does not give you a perfect or a sure shot answer it just tells you the likelihood of an event occurring you you

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