A woman who goes to work long before sunrise every morning gets dressed in the dark. In her socks drawer he has 8 black and 10 blue socks. What is the probability that her first pick was a black sock, but his second pick was a blue socks?

• Total number of socks=18
  Her first pick is a black=8/18
  His first pick is a blue=10/17
  So probability=8/18*10/17
  =40/153.
• 5 years agoHelpfull: Yes(3) No(0)
• This is a case of without replacement. We have to multiply two probabilities. 1. Probability of picking up a black sock, and probability of picking a blue sock, given that first sock is black.
  6C114C1×8C113C1=2491
• 5 years agoHelpfull: Yes(0) No(0)
• This is a case of without replacement. We have to multiply two probabilities. 1. Probability of picking up a black sock, and probability of picking a blue sock, given that first sock is black.
  8C1/18C1 × 10C1/17C1 =40/153.
• 5 years agoHelpfull: Yes(0) No(0)