How many times do you need to reach inside the drawer and take out a sock to guarantee a matching pair?
How many times do you need to blindly reach inside the drawer and take out a sock, so that you get a matching pair? Only 3 times. Once you have two socks of the same color, they already form a matching pair.
What is the probability that two randomly selected socks have a different color?
From 10 socks you are choosing 2, so you have (102) possibilities. And to two socks to be different color you have to pick one blue and one white so you have (51)(51) possibilities. So the final result is 2545=59.
How many black socks are in a drawer?
When two socks are pulled out randomly, the possibility that they are of same color would be when we pull out BB or W W. the probability of pulling out one black sock is 8 16 and pulling out another black will be 7 15, as we are left with 15 socks with 7 black socks.
What’s the maximum number of socks you can draw?
Let’s say there were 8 types of socks (white, black, blue, red, yellow, pink, gray, green), the maximum number of socks you’d need to draw would be 9. If there were only 2 colors of socks (like in this case, white and blue) then the maximum number would be 3.
How many white socks and 18 blue socks?
Your socks were only contains 18 white socks and 18 blue socks. How many times do you need to reach inside the drawer and take out a sock to guarantee a matching pair? – Quora Your socks were only contains 18 white socks and 18 blue socks.
How many pairs of socks are of the same color?
When two socks are pulled out randomly, the possibility that they are of same color would be when we pull out BB or WW. the probability of pulling out one black sock is 8 16 and pulling out another black will be 7 15, as we are left with 15 socks with 7 black socks. (II) We must pull out three socks so that they are matching pairs.
When two socks are pulled out randomly, the possibility that they are of same color would be when we pull out BB or W W. the probability of pulling out one black sock is 8 16 and pulling out another black will be 7 15, as we are left with 15 socks with 7 black socks.
How many socks are in a pair of white socks?
Three socks. If the first sock is black, the second one could be black, in which case you have a matching pair. If the second sock is white, the third sock will be either black and match the first sock, or white and match the second sock. Only three. You will either get three of the same color, two black and one white or vice versa.
Let’s say there were 8 types of socks (white, black, blue, red, yellow, pink, gray, green), the maximum number of socks you’d need to draw would be 9. If there were only 2 colors of socks (like in this case, white and blue) then the maximum number would be 3.
When to pull out black socks and white socks?
Let B denote pulling out a black sock and W denote pulling out a white sock from the drawer. When two socks are pulled out randomly, the possibility that they are of same color would be when we pull out BB or W W.
