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5 Cards in this Set
- Front
- Back
- 3rd side (hint)
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A jar is filled with red, white and blue tokens that are equivalent except for their colour. The chance of randomly selecting a red token, replacing it, then randomly selecting a white token is that same as the chance of randomly selecting a blue token. If the number of tokens of every colour is a multiple of 3, what is the smallest st possible total number of tokens in the jar? |
R/(R+W+B) × W/(R+W+B) =B/(R+W+B) R(W-B) =B(B+W) 9(6-3)=3(3+6) Total =3+6+9=18 |
Total number of tokens is R+W+B. |
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Arrow AB, which is a line segment exactly 5 units long with an arrowhead at A, is to be constructed in the xy plane. The X- and Y- coordinates of A and B are to be integers that satisfy the inequalities 0<=X<=9 and 0<=Y<=9. How many different arrows with these properties can be constructed? |
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How many of the integers between 1 and 400 inclusive are not divisible by 4 and do not contain 4 as a digit? |
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0 and 400 are divisible by 4, therefore their inclusion wont impact answer (as they will be excluded in answer). |
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x=10^10-z, where z is a two digit integer. If the sum of the digits of X equals 84, how many values for z are possible? |
10^10=10000000000 less a two digit integer is 99999999xy. x+y=84-9×8=12 The seven possible values for xy are (39, 48, 57, 66, 75, 84 and 93). However, here for value 93, z=7. As z is a two digit integer, this value is not allowed. Therefore z can take 6 possible values.
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Triplets Adam, Bruce and Charlie enter a triathlon. There are 9 competitors in the triathlon. If every competition has an equal chance of winning, and three medals will be awarded, what is the probability that at least two of the triplets will win a medal? |
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