Answer: [tex]\dfrac{1}{10}[/tex]
Step-by-step explanation:
Given: In basket, we have
4 black socks, 7 pink socks, and 10 white socks.
Total socks = 4+7+10 = 21
Probability that first sock is pink = [tex]\dfrac{\text{Number of pinks socks}}{\text{Total}}=\dfrac{7}{21}=\dfrac13[/tex]
Now basket has 6 pink socks left and total socks left= 20
Probability that second sock is pink =[tex]\dfrac{6}{20}=\dfrac{3}{10}[/tex]
The probability that Allison will select 2 pink socks = [tex]\dfrac13\times\dfrac{3}{10}=\dfrac{1}{10}[/tex]
Hence, the probability that Allison will select 2 pink socks = [tex]\dfrac{1}{10}[/tex]
