# What percentage of the numbers in Pascal’s Triangle are even? 1 1 1 2 1 1 3 3 1 1 4 6 4 1 1 5 10 10 5 1 1 6 15 20 15 6 1 1 7 21 35 35 21 7 1.

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What percentage of the numbers in Pascal’s Triangle are even? 1 1 1 2 1 1 3 3 1 1 4 6 4 1 1 5 10 10 5 1 1 6 15 20 15 6 1 1 7 21 35 35 21 7 1

Pascal’s Triangle E + O = O O + E = O E + E = E O + O = E O O O E OO E O O O O E E E O O O E E O O O E O E O E O O O O O

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Rows Proportion (evens) 8 9/36 =.250 16 55/136 =.404 32 285/528 =.539 64 1351/2080 =.650 128 6069/8256 =.735 256 26335/32896 =.801 512111645/131328 =.850

Rows Proportion (evens) 1,024 465751/524800 =.888 2,048 1921029/2098176 =.916 4,096 7859215/8390656 =.937 8,192 31964205/33558528 =.953 16,384 129442951/134225920 =.964 32,768 522538389/536887296 =.973 65,536 2104469695/2147516416 =.980

Rows Proportion (evens) Based upon a geometric estimate 131,072 8460859965/8590000128 =.985 262,144 33972448951/34359869440 =.989 524,288* =.991 1,048,576* =.994

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