there are 10 white socks and 6 black socks in a drawer. vic reaches into the drawer without looking and picks a white sock. he keeps the first sock out and reaches into the drawer again. to pick a second sock. what is the probability that the second sock vic selects will also be white
9/15 = 3/5
To find the probability that the second sock Vic selects will also be white, we need to consider the total number of socks remaining in the drawer and the number of white socks left.
1. First, we determine the probability of selecting a white sock on the first pick. Since there are a total of 16 socks (10 white + 6 black), the probability of Vic picking a white sock first is 10/16 or 5/8.
2. After Vic removes the first white sock from the drawer, there are 9 white socks and 6 black socks remaining. Now, the total number of socks is reduced to 15 (9 white + 6 black).
3. Therefore, the probability of selecting a second white sock is 9/15, as there are now 9 white socks left out of the total 15 socks.
So, the probability that the second sock Vic selects will also be white is 9/15, which can be simplified to 3/5.