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 of tossing a coin, there will be two possible outcomes – heads or tails. Formula of Probability
There are different terms used in the probability that is not commonly used normally, terms like experiments, sample space, a favorable outcome, trial, random experiment, etc. Let’s take a look at their definitions in detail,
Some Probability Formulae
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Similar ProblemsQuestion 1: What is the probability of getting a queen or a red card? Solution:
Question 2: What is the probability of drawing a black card from a well-shuffled deck of 52 cards? Solution:
Question 3: What is the probability of getting a black queen or a diamond? Solution:
Question 4: Find the probability of getting a number less than 5 in a single dice throw. Solution:
Question 5: What are the odds of flipping 7 heads in a row? Solution:
Article Tags : The probability of drawing a heart from a fair deck is 1 in 4. If the card is replaced then the probability is again 1 in 4. The probability of drawing a card other than a heart is 3 in 4. Once again if the card is replaced then the probability remains 3 in 4
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Calculation: Probability of drawing a king or heart = Probability of drawing a king + Probability of drawing a heart - Probability of drawing a king and heart Number of kings in 1 deck = 4 Probability of drawing 1 king = 4/52 Number of hearts in 1 deck = 13 Probability of drawing hearts =13/52 Number of kings which is a hearts = 1 Probability of drawing a king which belongs to hearts =1/52 Probability of drawing a king or heart = 4/52+ 13/52 - 1/52 = 16/52 Probability of drawing a king or heart = 4/13 ∴ The required probability is 4/13. Additional Information Probability of drawing A or B = Probability of drawing A + Probability of drawing a heart B - Probability of drawing A and B India’s #1 Learning Platform Start Complete Exam Preparation
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