Question

Mixed in a drawer are 8 blue socks, 8 white socks, and 8 gray socks. You pull out two socks, one at a time, without looking. Find the probability of getting 2 socks of the same color. The probability of getting 2 socks of the same color is (Type an integer or a simplified fraction.)

Answer 1

( Total number of socks in the drawer is 8+8+8 24 Let A denote the event both the socks are blue. B f both the socks are white ? 99 99 29 С. 6 both the socks are 22 29 29 greys. are clearly A, B, C mutually exclusive events. Noro required probability is P (AUBUC) P(A) +P(8) + PCC). «-yi) TA Now 8x7 24x23 there are 8 blue socks and after pulling out 1 socks are left with 7 blue bocks ] PCA) = 8CL RAC1 23C1 [ : we

PCB 8x7 24 X 23 1с, 801 * 2304 ZAGA Ta 2BGA ZACA 8 PCC) = X 8x7 24 X23 80 from ☺ we get Required porobability P(AUBUC) PCA) + PCB)+ PCC) 8x7 8x7 8x7 + 24X23 24 X23 24x23 3x8x7 Z fans) 2HX23 23 = t 11