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P(choose a black ball) : P(choose other than black ball) = 10 : 12.[tex]P(choose\ a\ black\ ball)=\frac{10}{10+12}=\frac{10}{22}=\frac{5}{11} [/tex]
The answer is 5/11.


Relative frequency of black balls = Many black balls appear / many experiments are carried out

= 10/10 + 12

= 10/22

= 5/11

So, the probability of getting a black ball is 5/11.  

Further Explanation

Mathematics (from Greek: μαθημα - mathēma, "knowledge, thought, learning") or previously called reckoning is the study of things such as quantity, structure, space, and change. Mathematicians assemble and use various patterns, and use them to formulate new conjectures and construct truth through a strict deduction method derived from corresponding axioms and definitions.

Opportunity or probability or also known as the probability is a way to express knowledge or belief that an event will be valid or has occurred. This concept has been more rigorously formulated in mathematics, and then used more broadly in not only mathematics or statistics but also finance, science, and philosophy.

The probability of an event is a number that indicates the likelihood of an event occurring. The value is between 0 and 1. An event that has a probability value of 1 is an event that is sure to happen or something that has happened.

Calculation of Opportunity for an Event with Relative Frequency

relative frequency is a comparison of the number of events observed with the number of experiments.

The relative frequency is expressed by the formula as follows:

Relative frequency = Many occurrences of K / trial numbers

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Details

Grade: College

Subject: Mathematics

keywords: Opportunity