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Sonja [21]
3 years ago
6

A drawer contains 60 pairs of socks. Each pair is one of four colors. What is the minimum number of socks that must be drawn, at

random, from the drawer to ensure that a pair of matching-color socks is selected? Plz help!
Mathematics
1 answer:
Anna35 [415]3 years ago
8 0

Answer:

Minimum 5 socks needs to be selected.

Step-by-step explanation:

Given that there are four different colors of socks.

So, if you pick 4 socks , in worst case it will be all four of different color.

now if you pick 5th socks it will be either of those four colors.

Hence, minimum 5 socks must be taken to ensure that  a pair of matching-color socks is selected.

______________________________________________

To elaborate it more,

let four colors be red, yellow, blue , green

if you pick 5 socks, then in worst case four will be all of different color

red, yellow, blue , green but fifth will be

  • If red socks, then there will 1 pair of red socks
  • If yellow socks, then there will 1 pair of yellow socks
  • If blue socks, then there will 1 pair of blue socks
  • If green socks, then there will 1 pair of green socks

Hence. minimum 5 socks needs to be selected.

_______________________________________

In general, if you have n objects of different colors then you need to take minimum n+1 number of object to have at least two object of same color.

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Answer:

2/9 boxes.

Step-by-step explanation:

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Fifty-eight boys were asked if they play football and/or baseball. Thirty-one of them said they do not play baseball. Sixteen of
Arte-miy333 [17]
The two-way table is attached.

We start out placing 31 in the Total column beside the Don't Play Baseball row.  We then place 16 in the Total row under the Play Football column.  20 goes in the Don't Play Baseball row under the Don't Play Football column.

Since there are 31 people that do not play baseball, and 20 of them don't play football, this leaves us with 31-20=11 that do not play baseball and play football.

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There are 58 people, and 31 of them do not play baseball; this leaves us 58-31=27 total that play baseball.

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