A-population-of-15-items-4-red-6-black-and-5-green-a-sample-of-4-items-are-selected-what-is-the-probability-that-the-sample-contains-3-black-and-1-green-

Tinku Tara June 4, 2023 Probability and Statistics 0 Comments

Question Number 158995 by Raxreedoroid last updated on 11/Nov/21

A population of 15 items. 4 red, 6 black and 5 green. a sample of 4 items are selected. what is the probability that the sample contains 3 black and 1 green?

Commented by tounghoungko last updated on 14/Nov/21

p=((C_3 ^6 ×C_1 ^5 )/C_4 ^(15) ) = ((20×5)/((15^3 ×14^7 ×13×12)/(4×3×2×1))) p= ((20)/(21×13))

p = \frac{C_{3}^{6} \times C_{1}^{5}}{C_{4}^{15}} = \frac{20 \times 5}{\frac{15^{3} \times 14^{7} \times 13 \times 12}{4 \times 3 \times 2 \times 1}}

p = \frac{20}{21 \times 13}

Facebook Tweet Pin

A-population-of-15-items-4-red-6-black-and-5-green-a-sample-of-4-items-are-selected-what-is-the-probability-that-the-sample-contains-3-black-and-1-green-

Leave a Reply Cancel reply