The probability of some event happening is a mathematical (numerical) representation of how likely it is to happen, where a probability of 1 means that an event will always happen, while a probability of 0 means that it will never happen. Classical probability problems often need to you find how often one outcome occurs versus another, and how one event happening affects the probability of future events happening. When you look at all the things that may occur, the formula (just as our coin flip probability formula) states that Show
Take a die roll as an example. If you have a standard, 6-face die, then there are six possible outcomes, namely the numbers from 1 to 6. If it is a fair die, then the likelihood of each of these results is the same, i.e., 1 in 6 or But what if you repeat an experiment a hundred times and want to find the odds that you'll obtain a fixed result at least 20 times? Let's look at another example. Say that you're a teenager straight out of middle school and decide that you want to meet the love of your life this year. More specifically, you want to ask ten girls out and go
on a date with only four of them. One of those has got to be the one, right? The first thing you have to do in this situation is look in the mirror and rate how likely a girl is to agree to go out with you when you start talking to her. If you have problems with assessing your looks fairly, go downstairs and let your grandma tell you what a handsome, young gentleman you are. So a solid As you only want to go on four dates, that means you
only want four of your romance attempts to succeed. This has an outcome of Probability is a part of mathematics that deals with the possibility of happening events. It is to forecast what are the possible chances that the events will occur or the event will not occur. The probability as a number lies between 0 and 1 only and can also be written in the form of a percentage or fraction. The probability of likely event B is often written as P(B). Here P shows the possibility and B show the happening of an event. Similarly, the probability of any event is often written as P(). When the end outcome of an event is not confirmed we use the probabilities of certain outcomes—how likely they occur or what are the chances of their occurring. Though probability started with a gamble, in the fields of Physical Sciences, Commerce, Biological Sciences, Medical Sciences, Weather Forecasting, etc., it has been used carefully. To understand probability more accurately we take an example as rolling a dice: The possible outcomes are — 1, 2, 3, 4, 5, and 6. The probability of getting any of the outcomes is 1/6. As the possibility of happening of an event is an equally likely event there is same chance of getting any number, in this case, it is either 1/6 or 50/3%. Formula of Probability
Types of Events
What is the probability of getting 10 heads in 20 flips?Solution:
Similar QuestionsQuestion1: What is the probability of 10 heads in 10 coins tossed together.? Solution:
Question 2: What is the probability of 5 in 5 coins tossed together.? Solution:
What is the probability of flipping a coin 10 times and getting heads?Based on the calculations we just did, you expect that if you toss a coin 10 times, it will land on heads 50% of the time.
How many possibilities are there if you flip a coin 10 times?How many different sequences of heads and tails are possible if you flip a coin 10 times? Answer Since each coin flip can have 2 outcomes (heads or tails), there are 2·2·... 2 = 210 = 1024 ≈ 1000 possibile outcomes of 10 coin flips.
What is the probability of flipping a coin 10 times and getting heads 3 times?Probability of having any head is 1/2. Probability of having 3 heads is 3/10.
What are the odds of flipping tails 10 times in a row?Each time a fair coin is flipped, the probability of getting tails is 1/2, or 50%. So the probability of getting 10 tails in a row is 1/1024, or . 09765625% ……
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