Mathematics: Abag contains 4 black, 5 red, and 6 pink balls. if 3 balls are selected one after the other without replacement, what is the probability that 3 red balls are chosen?

Abag contains 4 black, 5 red, and 6 pink balls. if

Ответ:

glenn4572

17.01.2022

Mathematics

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%

0,0(0 оценок)

Abag contains 4 black, 5 red, and 6 pink balls. if 3 balls are selected one after the other without replacement, what is the probability that 3 red balls are chosen?

Ответ:

Ответ:

Ask your question to the AI advisor

More tips

Answers on questions: Mathematics

Ask an AI advisor a question