What portion of the socks sold were purple?
Pairs of socks sold
Black:9
Blue:20
Gold:6
Green:22
Purple:25
Red:18
What portion of the socks were blue?
If Aliza wants to order 1200 pairs of socks, how many red socks should she order?
Player A and player B decide to use the following rule when rolling two fair dice: player A wins when any number is rolled that is divisible by 2. Player B wins when any number is rolled that is divisible by 3. Is this a fair game? If not, who has the unfair advantage?
A. No, Player B has an unfair advantage because 12 is divisible by 3, 4 times.
B. No, No one has the advantage, but no one can win if they roll a 1, 5, 7, or 11.
C. No, Player A has an unfair advantage because 12 is divisible by 2, 6 times.
D. Yes, it is a fair game.
Pairs of socks sold
Black:9
Blue:20
Gold:6
Green:22
Purple:25
Red:18
What portion of the socks were blue?
If Aliza wants to order 1200 pairs of socks, how many red socks should she order?
Player A and player B decide to use the following rule when rolling two fair dice: player A wins when any number is rolled that is divisible by 2. Player B wins when any number is rolled that is divisible by 3. Is this a fair game? If not, who has the unfair advantage?
A. No, Player B has an unfair advantage because 12 is divisible by 3, 4 times.
B. No, No one has the advantage, but no one can win if they roll a 1, 5, 7, or 11.
C. No, Player A has an unfair advantage because 12 is divisible by 2, 6 times.
D. Yes, it is a fair game.
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portion of blue socks sold = blue socks sold/total socks sold = 20/100 = 1/5
portion of purple socks sold = purple socks sold/total socks sold = 25/100 = 1/4
no of red socks to be ordered = 18*1200/ 100 = 216
here are the cases in which respective sum can be made
sum= 1 0 case
sum= 2 1 case (1,1)
sum= 3 2 cases (1,2)(2,1)
sum= 4 3 cases (1,3)(2,2)(3,1)
sum= 5 4 cases (1,4)(2,3)(3,2)(4,1)
sum= 6 5 cases (1,5)(2,4)(3,3)(4,2)(5,1)
,,,,,,,,,7,,,,,,,,,,,,,,,,,,,,,,,6 (1,6)(2,5)(3,4)(4,3)(5,2)(6,1)
.........8.......................5 (2,6)(3,5)(4,4)(5,3)(6,2)
.........9.......................4 ...............................
.........10.....................3 ...............................
..........11....................2 ................................
...........12...................1 ...............................
so A can win in 18 cases
and B can win in 12 cases
so A has the advantage
portion of purple socks sold = purple socks sold/total socks sold = 25/100 = 1/4
no of red socks to be ordered = 18*1200/ 100 = 216
here are the cases in which respective sum can be made
sum= 1 0 case
sum= 2 1 case (1,1)
sum= 3 2 cases (1,2)(2,1)
sum= 4 3 cases (1,3)(2,2)(3,1)
sum= 5 4 cases (1,4)(2,3)(3,2)(4,1)
sum= 6 5 cases (1,5)(2,4)(3,3)(4,2)(5,1)
,,,,,,,,,7,,,,,,,,,,,,,,,,,,,,,,,6 (1,6)(2,5)(3,4)(4,3)(5,2)(6,1)
.........8.......................5 (2,6)(3,5)(4,4)(5,3)(6,2)
.........9.......................4 ...............................
.........10.....................3 ...............................
..........11....................2 ................................
...........12...................1 ...............................
so A can win in 18 cases
and B can win in 12 cases
so A has the advantage