A branch of mathematics that deals with the happening of a random event is termed probability. It is used in Maths to predict how likely events are to happen. The probability of any event can only be between 0 and 1 and it can also be written in the form of a percentage. ProbabilityThe probability of event A is generally written as P(A). Here, P represents the possibility and A represents the event. It states how likely an event is about to happen. The probability of an event can exist only between 0 and 1 where 0 indicates that event is not going to happen i.e. Impossibility and 1 indicates that it is going to happen for sure i.e. Certainty. If not sure about the outcome of an event, take help of the probabilities of certain outcomes, how likely they occur. For a proper understanding of probability, take an example as tossing a coin, there will be two possible outcomes – heads or tails. The probability of getting heads is half. It is already known that the probability is half/half or 50% as the event is an equally likely event and is complementary so the possibility of getting heads or tails is 50%. Formula of Probability
Some Terms of Probability TheoryThere are different terms used in probability that are not commonly used normally, terms like experiments, sample space, favourable outcome, trial, random experiment, etc. Lets take a look at their definitions in details,
Some Probability Formulae
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Sample ProblemsQuestion 1: What is the probability of flipping one coin? Solution:
Question 2: What is the probability of flipping two coin? Solution:
Question 3: What is the probability of flipping three coins? Find the probability of these events?
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Question 4: A coin is tossed 20 times. What is the probability of getting at least 1 tail? Solution:
Question 5: What are the odds of flipping tails 10 times in a row? Solution:
getcalc.com's solved example with solution to find what is the probability of getting 2 Tails in 3 coin tosses.
The above probability of outcomes applicable to the below questions too.
The ratio of successful events A = 4 to the total number of possible combinations of a sample space S = 8 is the probability of 2 tails in 3 coin tosses. Users may refer the below solved example work with steps to learn how to find what is the probability of getting at-least 2 tails, if a coin is tossed three times or 3 coins tossed together. Users may refer this tree diagram to learn how to find all the possible combinations of sample space for flipping a coin one, two, three or four times. Solution Step by step workout step 2 Find the expected or successful events A A = {HTT, THT, TTH, TTT} A = 4step 3 Find the probability P(A) = Successful Events/Total Events of Sample Space = 4/8 = 0.5 P(A) = 0.5 0.5 is the probability of getting 2 Tails in 3 tosses.
The ratio of successful events A = 3 to total number of possible combinations of sample space S = 8 is the probability of 2 tails in 3 coin tosses. Users may refer the below detailed solved example with step by step calculation to learn how to find what is the probability of getting exactly 2 tails, if a coin is tossed three times or 3 coins tossed together. Solution : Step by step workout step 2 Find the expected or successful events A A = {HTT, THT, TTH} A = 3step 3 Find the probability P(A) = Successful Events/Total Events of Sample Space = 3/8 = 0.38 P(A) = 0.38 0.38 is the probability of getting exactly 2 Tails in 3 tosses. |