A-drawer-contains-5-brown-socks-and-4-blue-socks-well-mixed-A-man-reaches-the-drawer-and-pulls-out-2-socks-at-random-What-is-the-probability-that-they-match-

Question Number 43374 by peter frank last updated on 10/Sep/18

A drawer contains 5 brown socks and 4

blue socks well mixed . A man reaches

the drawer and pulls out 2 socks at

random . What is the probability that

they match ?

Answered by tanmay.chaudhury50@gmail.com last updated on 10/Sep/18

p (b r o w n) = \frac{5 c_{2}}{9 c_{2}}

p (b l u e) \frac{4 c_{2}}{9 c_{2}}

r e w u i t e d s n s w e r = \frac{5 c_{2}}{9 c} + \frac{4 c_{2}}{9 c_{2}} = \frac{\frac{5 \times 4}{2} + \frac{4 \times 3}{2}}{\frac{9 \times 8}{2}}

= \frac{16}{36} = \frac{4}{9}

p l s c h e 4 k . .