Homework SourseOf the sixteen children in a choir six are boys Five childre
Of the sixteen children in a choir six are boys. Five children from the choir are selected at random to sing a song. What is the probability exactly 4 boys are chosen? What is the probability atleast 4 boys are chosen?
Of the sixteen children in a choir six are boys. Five children from the choir are selected at random to sing a song. What is the probability exactly 4 boys are chosen? What is the probability atleast 4 boys are chosen?
Solution
No. of ways to choose 5 children = 16C5
No. of ways to choose exactly 4 boys = 6C4 * 12C1
probability exactly 4 boys are chosen = 6C4 * 12C1 / 16C5 = 15*12/4368 = 0.0412
No. of ways to choose atleast 4 boys = 6C4 * 12C1 + 6C5
probability atleast 4 boys are chosen = (15*12+6)/4368 = 0.0426
