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There are 2 bags A and B. Bag A contain 6 red flowers and 3 pink flowers where as bag B contains 2 red flowers and 7 pink flowers. One flower is chosen from the bag randomly. What is the probability that the flower chosen is pink?
The probability of choosing a pink flower is 5/9.
To find the probability of choosing a pink flower, you need to consider the total number of pink flowers in both bags and the total number of flowers overall.
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In bag A, there are 3 pink flowers. In bag B, there are 7 pink flowers.
Total number of pink flowers = 3 (from bag A) + 7 (from bag B) = 10
Total number of flowers overall = 6 (red) + 3 (pink) (from bag A) + 2 (red) + 7 (pink) (from bag B) = 18
So, the probability of choosing a pink flower is:
Probability = (Number of pink flowers) / (Total number of flowers) = 10 / 18 = 5 / 9
So, the probability of choosing a pink flower is 5/9.
What is Theoretical Probability?
Theoretical probability, also known as classical probability, is a branch of probability theory that deals with the study of random phenomena in a theoretical, mathematical framework. It involves analyzing the likelihood of various outcomes of an event, assuming that each outcome is equally likely to occur.
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In theoretical probability, probabilities are calculated based on mathematical formulas and assumptions rather than empirical data. It is often used in situations where the underlying probability distribution is well-defined and all possible outcomes are known.
Theoretical probability is typically expressed as a ratio of the number of favorable outcomes to the total number of possible outcomes. For example, if you flip a fair coin, there are two possible outcomes (heads or tails), each with an equal probability of 1/2.
Theoretical probability provides a foundation for understanding more complex concepts in probability theory and is often used in fields such as statistics, mathematics, and engineering to analyze and predict the outcomes of various events and experiments.
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