There are 18 girls and 12 boys in a class. 2/9 of the girls and 1/4 of the boys walk to school.
Probability is a branch of mathematics that deals with the likelihood or chance of events occurring. It quantifies the likelihood of different outcomes in a given event or experiment. The probability of an event is a number between 0 and 1, where 0 indicates that the event will not occur, and 1 indicates that the event will certainly occur.
In probability theory, events are usually denoted by capital letters (e.g., A, B) and the probability of an event A is denoted by P(A). The probability is calculated as the ratio of the number of favorable outcomes to the total number of possible outcomes.
For example, if you roll a fair six-sided die, the probability of rolling a 3 is 1/6 because there is one favorable outcome (rolling a 3) out of six possible outcomes (rolling a 1, 2, 3, 4, 5, or 6). Probability is a fundamental concept used in various fields, including statistics, economics, science, and everyday decision-making.
Problem:
There are 18 girls and 12 boys in a class. 2/9 of the girls and 1/4 of the boys walk to school. One of the students who walks to school is chosen at random. Find the probability that the student is a boy.
A) 30/12
B) 3/7*
C) 1/4
D) 3/12
E) 1/10
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