Probability - Events Not Equally Likely? Impossible and Certain Events?

Probability – Events Not Equally Likely? Impossible and Certain Events?



let's think of a case where two events are not equally likely look at this set of numbers 1 2 3 4 5 6 & 7 assume you have to choose one random number from the set it can be any one of the seven numbers what is the probability of choosing an odd number to know this first we need to find the odd numbers in this set these four are odd you could have picked any of the four odd numbers 1 3 5 or 7 and you would have chosen one number from these 7 numbers so the probability will equal 4 by 7 4 ways in which we can get an odd number and 7 is the total possible number of outcomes similarly what would be the probability of choosing an even number you can choose either a 2 or a 4 or a 6 3 possibilities out of 7 so the probability would be 3 by 7 so if you observe carefully the probability of getting an odd number is higher than the probability of getting an even number in simple words it means that if you pick any random number from this set the likelihood of getting an odd number is higher than the likelihood of getting an even number so these events are not equally likely – more interesting questions and we are done what would be the probability of getting a 8 if we choose a random number from these 7 numbers that's weirder do we see an 8 anywhere in the set no it is not part of the set getting an 8 is impossible because it does not exist in our set so how many ways in which we can get an 8 well there are 0 ways in which we can get an 8 and the total possibilities are still 7 and 0 by 7 is 0 we say that probability is 0 or impossible and what if you are asked the probability of picking a natural number from these 7 numbers any number you pick it will certainly be a natural number so there are seven ways in which you can pick a natural number and the total possibilities are also seven and this is one we say that the probability is 100% we call this a certain event it will certainly happen if you watch all the probabilities videos I would say it is certain that you would master this topic

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