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Question

There are six boys and four girls in a class. The teacher randomly selects one student to answer a question. Later, the teacher randomly selects a different student to answer another question.  Find the probability the first student is a boy and the second student is a girl

Answer 1

The PROBABILITY is 27%. The probability of selecting a boy out of a class of 10 students is 6/10 or 3/5. The probability of selecting a girl in a class of 10 students is 4/10 or 2/5. Since both events are to occur, use a multiplication rule of probability. Assume that the probability is based upon sampling WITHOUT replacement. The PROBABILITY of selecting a boy and then a girl is 6/10*4/9 (reduce the denominator to 9), which is 4/15 or 27%

Answer 2

Probabiliy = (6/10)*(4/10) = 6/25