Urgent Last Min Question (1 Viewer)

[n8r]

hey really need help for this last min q, its on probabilty and comes from new century maths text book 6:06 q17 b)

five boys and four girls are at a camp. six of them are selected to ride in a rowboat.

what is the probability that the selected group contains 3 boys and 3 girls?



-- answer provided is 10/21 but ive got no idea how to get it.
thanks

 

[Riviet]

5 boys + 4 girls = 9 people in total

.'. total number of ways of selecting 6 people without restrction = 9C6

number of ways of choosing 3 boys from 5 boys and 3 girls from 4 girls = (5C3)(4C3)

.'. Probability of choosing 3 boys and 3 girls = (number of desirable ways)/(total)

= (5C3)(4C3)/(9C6)

= 40/84

= 10/21

 

[egarrz]

thanks