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[游戏] 彩票概率计算题

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发表于 2013-3-17 16:08:36 | 显示全部楼层 |阅读模式

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随机设备产生20个随机数字 20个数字范围限定1•••••••80 求这20个数字之和的概率分布 他们的和值范围在210•••••809的概率是否等于范围在811••••1410的概率? 这个概率值是多少?
毋因群疑而阻独见  毋任己意而废人言
毋私小惠而伤大体  毋借公论以快私情
 楼主| 发表于 2013-3-17 16:15:37 | 显示全部楼层
随机产生的都是整数
毋因群疑而阻独见  毋任己意而废人言
毋私小惠而伤大体  毋借公论以快私情
发表于 2013-3-18 16:31:26 | 显示全部楼层
20 0% 21 0% 22 0% 23 0% 24 0% 25 0% 26 0% 27 0% 28 0% 29 0% 30 0% 31 0% 32 0% 33 0% 34 0% 35 0% 36 0% 37 0% 38 0% 39 0% 40 0% 41 0% 42 0% 43 0% 44 0% 45 0% 46 0% 47 0% 48 0% 49 0% 50 0% 51 0% 52 0% 53 0% 54 0% 55 0% 56 0% 57 0% 58 0% 59 0% 60 0% 61 0% 62 0% 63 0% 64 0% 65 0% 66 0% 67 0% 68 0% 69 0% 70 0% 71 0% 72 0% 73 0% 74 0% 75 0% 76 0% 77 0% 78 0% 79 0% 80 0% 81 0% 82 0% 83 0% 84 0% 85 0% 86 0% 87 0% 88 0% 89 0% 90 0% 91 0% 92 0% 93 0% 94 0% 95 0% 96 0% 97 0% 98 0% 99 0% 100 0% 101 0% 102 0% 103 0% 104 0% 105 0% 106 0% 107 0% 108 0% 109 0% 110 0% 111 0% 112 0% 113 0% 114 0% 115 0% 116 0% 117 0% 118 0% 119 0% 120 0% 121 0% 122 0% 123 0% 124 0% 125 0% 126 0% 127 0% 128 0% 129 0% 130 0% 131 0% 132 0% 133 0% 134 0% 135 0% 136 0% 137 0% 138 0% 139 0% 140 0% 141 0% 142 0% 143 0% 144 0% 145 0% 146 0% 147 0% 148 0% 149 0% 150 0% 151 0% 152 0% 153 0% 154 0% 155 0% 156 0% 157 0% 158 0% 159 0% 160 0% 161 0% 162 0% 163 0% 164 0% 165 0% 166 0% 167 0% 168 0% 169 0% 170 0% 171 0% 172 0% 173 0% 174 0% 175 0% 176 0% 177 0% 178 0% 179 0% 180 0% 181 0% 182 0% 183 0% 184 0% 185 0% 186 0% 187 0% 188 0% 189 0% 190 .0000000001% 191 .0000000001% 192 .0000000001% 193 .0000000001% 194 .0000000001% 195 .0000000001% 196 .0000000001% 197 .0000000001% 198 .0000000001% 199 .0000000001% 200 .0000000001% 201 .0000000002% 202 .0000000002% 203 .0000000002% 204 .0000000002% 205 .0000000002% 206 .0000000003% 207 .0000000003% 208 .0000000003% 209 .0000000003% 210 .0000000004% 211 .0000000004% 212 .0000000004% 213 .0000000005% 214 .0000000005% 215 .0000000006% 216 .0000000006% 217 .0000000007% 218 .0000000008% 219 .0000000009% 220 .0000000009% 221 .000000001% 222 .0000000011% 223 .0000000012% 224 .0000000013% 225 .0000000015% 226 .0000000016% 227 .0000000017% 228 .0000000019% 229 .0000000021% 230 .0000000023% 231 .0000000025% 232 .0000000027% 233 .0000000029% 234 .0000000032% 235 .0000000035% 236 .0000000038% 237 .0000000041% 238 .0000000045% 239 .0000000048% 240 .0000000053% 241 .0000000057% 242 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.3602344833% 774 .361434124% 775 .3626046537% 776 .3637457705% 777 .3648571794% 778 .3659385925% 779 .3669897292% 780 .3680103162% 781 .3690000876% 782 .3699587853% 783 .3708861587% 784 .371781965% 785 .3726459693% 786 .3734779448% 787 .3742776726% 788 .3750449422% 789 .3757795513%
毋因群疑而阻独见  毋任己意而废人言
毋私小惠而伤大体  毋借公论以快私情
发表于 2013-3-18 16:32:07 | 显示全部楼层
790 .3764813059% 791 .3771500206% 792 .3777855183% 793 .3783876308% 794 .3789561983% 795 .3794910699% 796 .3799921035% 797 .3804591659% 798 .3808921328% 799 .3812908888% 800 .3816553278% 801 .3819853524% 802 .3822808747% 803 .3825418158% 804 .382768106% 805 .3829596847% 806 .3831165009% 807 .3832385125% 808 .383325687% 809 .383378001% 810 .3833954406% 811 .383378001% 812 .383325687% 813 .3832385125% 814 .3831165009% 815 .3829596847% 816 .382768106% 817 .3825418158% 818 .3822808747% 819 .3819853524% 820 .3816553278% 821 .3812908888% 822 .3808921328% 823 .3804591659% 824 .3799921035% 825 .3794910699% 826 .3789561983% 827 .3783876308% 828 .3777855183% 829 .3771500206% 830 .3764813059% 831 .3757795513% 832 .3750449422% 833 .3742776726% 834 .3734779448% 835 .3726459693% 836 .371781965% 837 .3708861587% 838 .3699587853% 839 .3690000876% 840 .3680103162% 841 .3669897292% 842 .3659385925% 843 .3648571794% 844 .3637457705% 845 .3626046537% 846 .361434124% 847 .3602344833% 848 .3590060404% 849 .3577491108% 850 .3564640167% 851 .3551510867% 852 .3538106555% 853 .3524430643% 854 .3510486603% 855 .3496277963% 856 .3481808311% 857 .3467081292% 858 .3452100603% 859 .3436869994% 860 .3421393268% 861 .3405674278% 862 .3389716924% 863 .3373525153% 864 .3357102958% 865 .3340454374% 866 .332358348% 867 .3306494394% 868 .3289191272% 869 .3271678308% 870 .3253959731% 871 .3236039804% 872 .3217922822% 873 .319961311% 874 .318111502% 875 .3162432935% 876 .3143571259% 877 .3124534422% 878 .3105326875% 879 .3085953089% 880 .3066417555% 881 .3046724778% 882 .3026879281% 883 .3006885598% 884 .2986748276% 885 .2966471872% 886 .294606095% 887 .2925520083% 888 .2904853847% 889 .2884066823% 890 .2863163592% 891 .2842148736% 892 .2821026836% 893 .2799802469% 894 .2778480207% 895 .2757064617% 896 .2735560258% 897 .2713971677% 898 .2692303413% 899 .2670559991% 900 .2648745923% 901 .2626865705% 902 .2604923814% 903 .2582924713% 904 .256087284% 905 .2538772616% 906 .2516628437% 907 .2494444674% 908 .2472225676% 909 .2449975762% 910 .2427699224% 911 .2405400325% 912 .2383083297% 913 .236075234% 914 .2338411622% 915 .2316065274% 916 .2293717394% 917 .2271372043% 918 .2249033244% 919 .2226704981% 920 .2204391199% 921 .21820958% 922 .2159822646% 923 .2137575555% 924 .2115358303% 925 .209317462% 926 .2071028189% 927 .2048922648% 928 .2026861589% 929 .2004848552% 930 .1982887031% 931 .1960980469% 932 .1939132261% 933 .1917345747% 934 .1895624218% 935 .1873970911% 936 .1852389011% 937 .1830881649% 938 .1809451901% 939 .1788102791% 940 .1766837286% 941 .1745658295% 942 .1724568676% 943 .1703571226% 944 .1682668688% 945 .1661863747% 946 .164115903% 947 .1620557107% 948 .160006049% 949 .1579671632% 950 .1559392929% 951 .1539226716% 952 .1519175272% 953 .1499240815% 954 .1479425506% 955 .1459731445% 956 .1440160674% 957 .1420715176% 958 .1401396876% 959 .1382207637% 960 .1363149267% 961 .1344223512% 962 .1325432061% 963 .1306776543% 964 .1288258532% 965 .1269879539% 966 .1251641021% 967 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毋因群疑而阻独见  毋任己意而废人言
毋私小惠而伤大体  毋借公论以快私情
发表于 2013-3-18 16:35:59 | 显示全部楼层
本来想暴力计算得出精确值,但计算时间不容许计算精度也不允许。 只好采用近似计算,所以和为20等的概率(1/80^20)表示不出只好写0
毋因群疑而阻独见  毋任己意而废人言
毋私小惠而伤大体  毋借公论以快私情
发表于 2013-3-18 17:05:16 | 显示全部楼层
D:\fhm\studio\算概率分布\20个80概率分布.bmp
毋因群疑而阻独见  毋任己意而废人言
毋私小惠而伤大体  毋借公论以快私情
发表于 2013-3-18 17:08:05 | 显示全部楼层
请问如何输入图片?我想放分布图
毋因群疑而阻独见  毋任己意而废人言
毋私小惠而伤大体  毋借公论以快私情
发表于 2013-3-19 09:58:16 | 显示全部楼层
本帖最后由 mathtime 于 2013-3-19 13:49 编辑 他们的和值范围在210至809的概率为 49.8083022762% 他们的和值范围在811至1410的概率为 49.8083022762% 两者概率相等。 另外不能插入图片,整个和值的概率分布有点象正态分布,挺好看。
毋因群疑而阻独见  毋任己意而废人言
毋私小惠而伤大体  毋借公论以快私情
 楼主| 发表于 2013-3-23 11:27:49 | 显示全部楼层
他们的和值范围在210至809的概率为 49.8083022762% 他们的和值范围在811至1410的概率为 49.8083022762% 两者概率相等。 另外不能插入图片,整个和值的概率分布有点象正态分布,挺好看。 mathtime 发表于 2013-3-19 09:58
添加附件就可以插入图片了,谢谢啦
毋因群疑而阻独见  毋任己意而废人言
毋私小惠而伤大体  毋借公论以快私情
发表于 2013-3-25 16:24:12 | 显示全部楼层
报"图片格式错", 图片小于500K
毋因群疑而阻独见  毋任己意而废人言
毋私小惠而伤大体  毋借公论以快私情
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