1.

Probability of choosing a boy from a group of 25 girls and some boys is 3/8. Find the probability of choosing one boy and one girl from that group?1). \(\frac{{19}}{{52}}\)2). \(\frac{{21}}{{52}}\)3). \(\frac{{23}}{{52}}\)4). \(\frac{{25}}{{52}}\)

Answer»

Let the number of BOYS be x

Total number of people in group = 25 + x

Probability of choosing a boy from a group = x/(25 + x)

x/(25 + x) = 3/8 ⇒ x = 15

Probability of choosing one boy and one girl from that group = $({}_1^{15}C \times {}_1^{25}C/\left( {{}_2^{40}C} \RIGHT))$ = 25/52


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