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Mathematical problems of playing cards
Hehe, the question of probability, first of all, make clear the composition of cards. Except for the big boy, a * * * has four kinds of cards, each with 13 cards, so a * * * has 52 cards.

The first question,

Each card has three other colors of the same color, so the answer is1* 3/51* 2/50 = 6/2550. The derivation of the formula is very simple, and anyone who knows a little math should understand it.

The second question,

The probability of flush is the ratio of the remaining number of flush to the total number. Sequential connection should be discussed in three parts. One is that the first card drawn is between 3 and q, the probability is 10/ 13, and the formula is

( 1* 10/ 13)*( 12/5 1*2/ 12)*( 1 1/50*2/ 1 1)=40/33 150=0.00 12066;

Secondly, if the first card drawn is 2 or k, the probability is 2/ 13 and the formula is

( 1*2/ 13)*( 12/5 1* 1/ 12)*( 1 1/50*2/ 1 1)+( 1*2/ 13)*( 1 2/5 1* 1/ 12)*( 1 1/50* 1/ 1 1)=( 1*2/ 13)*( 12/5 1* 1/ / kloc-0/2)*( 1 1/50*3/ 1 1)=6/33 150=0.000 18 1

Thirdly, if the first card draws A, the formula is113 * (12/51* 2/12) * (1/50).

Add the three to get the title, 40/33150+6/33150+2/33150 =14//kloc-0.

Of course, the probability of straight flush can be removed in the process of solving problems, and the remaining probability can be directly expressed by a fraction of the total.

Third question

Very simple,1*12/51*1/50 =132/2550 = 0.05176 = 5.176.

The fourth question

It can be solved according to the supplementary method after the second question, and the result of the second question can be multiplied by 4 (because there are four colors, there are four corresponding possibilities), so it is1410000 * 4 = 56/10000.

The fifth question

Any card in a deck has three cards with the same number of points as him, so

1*48/5 1*6/50+ 1*3/5 1* 1=0. 1 1294 1+0.0588235=0. 17 17645

Probably draw three cards at random, and there is a 17% chance of a pair.