Question

There are 10 girls and 16 boys in a class. The teacher has sticks with each student's name on them in a bag. What is the probability of selecting sticks with a boy'sname and then a girl's name if the first stick is not replaced?A40169B166545128D10FirstBack Pause IINextReviewLenovo

Answer 1

The probability is going to be calculated multiplying the probability of two events. The first event is selecting a boy's name which is 16(number of boys) /26( Total of students). The second event is selecting a girl's name after the first event happened, it must be: 10(number of girls)/ 25(Total students after selecting a boy's name)

$\begin{gathered} \frac{16}{26}\cdot\frac{10}{25}=\frac{160}{650} \\ \frac{160}{650}=\text{ }\frac{16}{65}\text{ (Dividing the numerator and the denominator by 10)} \\ \text{ The answer is the option B} \end{gathered}$