What is the least number of socks you must remove from the drawer to be absolutely sure of coming away with a matching pair?
What is the smallest number of socks you must take out of the drawer in order to be certain that you have a pair that match? Solution: Three socks.
What are the minimum number of draws required to find a pair of socks in worst case?
Explanation: One will need to pick all the socks to get at least 6 pairs of matching socks.
How many socks does it take to make a pair?
So the answer to the question ‘How many socks make a pair?’ is three. But this is true only if there are just two colours of sock, of course. If there are three types of sock in the drawer – blue, black and white, for example – you need to take out four for a pair.
How do you match a pair of matching socks in the dark?
This is fairly simple. You need to pick 3 socks as stated above to be sure of a match. So after picking the first sock, its a 50-50 shot the second will be a match. actually if you pulled out three socks there is still a chance you could get all grey or all black..
How many socks must he take out to make 100 percent certain he has at least one pair of black socks?
Explanation. If he takes out 38 socks, although it is very unlikely, it is possible they could all be blue and red. To make 100 percent certain that he also has a pair of black socks he must take out a further two socks.
How many socks must he take out to make certain that he has a pair of each Colour?
A man has 53 socks in his drawer: 21 identical blue, 15 identical green and 17 identical yellow. The lights are fused and he is completely in the dark. How many socks must he take out to make 100 percent certain he has a pair of green socks? You could take all the Blue and Yellow socks first, that’s 21 + 17 = 38 socks.
How many pairs of socks are in a drawer?
You have a drawer with 10 pairs of black socks and 10 pairs of white socks. 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.
Are there 10 black socks and 10 white socks?
There are 10 black socks and 10 white socks in a drawer. Now you have to go out wearing your shoes. So how many maximum number of times you need to remove the sock from drawer so that you can go out? You can remove only 1 sock at a time. Obviously, you can’t go outside wearing different socks!
What’s the probability of picking a black sock?
Probability of picking a black sock in the first attempt = 6/10. Total Number of Blue socks = 4. Probability of picking a blue sock in the first attempt = 4/10. Hence, the required probability = 7/15. n (F)= Number of Favourable chances, here choosing 2 balls either from Red or a blue socks;
Can you draw 4 socks out of 7 socks?
Now, 4 socks are drawn at random out of which we want 2 red socks, thus the remaining 2 socks must be of black color. Number of ways we can draw 4 socks out of a pack of 7 socks is 7C4 = 7!/ (4!*3!) = 35 ways.
You have a drawer with 10 pairs of black socks and 10 pairs of white socks. 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.
There are 10 black socks and 10 white socks in a drawer. Now you have to go out wearing your shoes. So how many maximum number of times you need to remove the sock from drawer so that you can go out?
Probability of picking a black sock in the first attempt = 6/10. Total Number of Blue socks = 4. Probability of picking a blue sock in the first attempt = 4/10. Hence, the required probability = 7/15. n (F)= Number of Favourable chances, here choosing 2 balls either from Red or a blue socks;
Now, 4 socks are drawn at random out of which we want 2 red socks, thus the remaining 2 socks must be of black color. Number of ways we can draw 4 socks out of a pack of 7 socks is 7C4 = 7!/ (4!*3!) = 35 ways.
