A drawer contains 9 black socks, 8 gray socks, and 7 blue socks. Without looking, you draw out a sock and then draw out a second sock without returning the first sock. What is the probability that the two socks you draw are the same color?

Question

yrdgz07 yrdgz07

04-03-2018
Mathematics

contestada

A drawer contains 9 black socks, 8 gray socks, and 7 blue socks. Without looking, you draw out a sock and then draw out a second sock without returning the first sock. What is the probability that the two socks you draw are the same color?

Respuesta :

Otras preguntas

What organs work with skin?

How can b^2+9b+14 be re-written?1) (b+7) (b-7)2) (b-7) (b-2)3) (b+7) (b-2)4) (b+7) (b+2)

Which substance will combine with oxygen gas to produce a greenhouse gas? a. Na b. S c. H₂ d. Ne e. C

Which of the following molecules has polar bonds but is a nonpolar molecule? a. H₂ b. H₂O c. NH₃ d. NaCl e. CO₂ Can anyone explain this one?

What is the product of (x+1) and (2x^2+3x-1)?

What is 68 divided by the square root of 4

if f(x)=|3x-4|+2, find f (-10)

what colors are birds are attracted 2

after clicking the start button on your computer screen desktop what option would you then select to examine system components you might want to modify?

Which of the following is equivalent to 3a + 4b – (–6a – 3b) ? A. 16ab B. –3a + b C. –3a + 7b D. 9a + b E. 9a + 7b

2parkjuhwan901 2parkjuhwan901 · Answer 1 · 2018-03-04T02:04:32+01:00

HI!
First of all, there are total 9 + 8 + 7 = 24 socks.
Probability of a black socks in a row is 9/24
Probability of the second black socks without replacement, if first one was black, is 8/23
Therefore the probability of the 2 black socks in a row are 3/23 (I multiplied the two)
Using the same technique, the p of 2 gray socks are 7/69
The p of 2 blue socks are 7/92
Now you add them up, and you get 85/276 as your answer
Let me know if there are any other questions!