Answer:
The probability that 3 red balls are chosen is: 2.2%
Step-by-step explanation:
A bag contains 4 black, 5 red, and 6 pink balls.
Total balls in the bag= 4+5+6= 15 balls in the bag
We need to know what is the probability that 3 red balls are chosen without replacement?
\(P_r=\frac{R_b}{T_b}*\frac{R_b-1}{T_b-1}*\frac{R_b-2}{T_b-2}\)
Where:
\(P_r:\) Probability that 3 red balls are chosen
\(R_b:\) Number of red balls
\(T_b:\) Number of total balls
\(P_r=\frac{5}{15}*\frac{5-1}{15-1}*\frac{5-2}{15-2}\\P_r=\frac{5}{15}*\frac{4}{14}*\frac{3}{13}\\P_r=\frac{1}{3}*\frac{4}{14}*\frac{3}{13}\\P_r=\frac{2}{91}\\P_r=0.022\)
\(P_r=0.022=2.2\)%
The probability that 3 red balls are chosen is: 2.2%
