X, Y and Z represent 20%, 30% and 50% 2%, 3% and 5% of students from X, Y and z (respectively) participate in these competitions every year. What is the probability that a randomly selected student participates at annual math competition and belongs to high school X.

Question

Mathematics

Munoz

12 April, 17:14

X, Y and Z represent 20%, 30% and 50% 2%, 3% and 5% of students from X, Y and z (respectively) participate in these competitions every year. What is the probability that a randomly selected student participates at annual math competition and belongs to high school X.

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Answers (1)

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Devan Mooney · Answer 1

the probability is 0.4%

Step-by-step explanation:

the probability is equal to the proportion of students of X respect to the total amount of students, assuming that each student is equally likely to be chosen, thus:

Probability = number of students of X that participate / total amount of students = number of students of X / total amount of students * number of students of X that participate / number of students of X = 0.2 * 0.02 = 0.004 (0.4%)