use the ven diagram to complete the contingency table then find the probability reduce all fraction and an use division bar

Boys Not boys Total
Juniors 75 65 140
Not Juniors 335 225 560
Total 410 290 700
The probability that a student chosen at random is a boy = 41 / 70
The probability that a boy selected at random is a junior is 15 / 82
The probability that of choosing a student that is a junior and a boy is 3/ 28
The probability of randomly choosing a student that is a girl given that she is not a junior is 45 / 58.
The probability of randomly selecting a girl is 29 / 70.
The probability that a student chosen at random is a boy = total number of boys / total number of students
410 / 700 = 41 / 70
The probability that a boy selected at random is a junior = total number of male juniors / total number of boys
75 / 410 = 15 / 82
The probability that of choosing a student that is a junior and a boy = total number of male juniors / total number of students
75 / 700 = 3/ 28
The probability of randomly choosing a student that is a girl given that she is not a junior = total number of girls that are not juniors / total number of girls
225 / 290 = 45 / 58
The probability of randomly selecting a girl = total number of girls / total number of students
290 / 700 = 29 / 70
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