Question

Four girls and six boys are in a Spanish club. Three of the people will be chosen at random to represent the group in a photograph. What is the probability that one girl and two boys will be chosen? 40% 50% 60% 70%

Answer 1

Answer:

50%

Step-by-step explanation:

Answer 2

Answer:50 %

Step-by-step explanation:

Given

There are 4 girls and 6 boys in a club

Probability of choosing 1 girl and 2 boys is

$=\dfrac{\text{No of ways of choosing 1 girl and 2 boys }}{\text{No of ways of choosing 3 member out of 10 member}}$

No of ways of choosing 1 girl and 2 boys$=^4C_1\times ^6C_2$

$P=\dfrac{^4C_1\times ^6C_2}{^{10}C_3}$

$P=\dfrac{4\times 15}{10\times 3\times 4}$

$P=\dfrac{15}{30}=\frac{1}{2}$

i.e. $50\%$