Love For MathCreative Math Education

Challenge 1: Why the top two always pair up

The top 2 cards always end up as a pair of red and black. Why do you think that happens?

What students worked out5

  • Student 1

    Could be because the special arrangement is top half black and bottom half red when you riffle shuffle it puts them in that order

  • Student 3

    after mixing top 2 cards could be
    first 2 cards (red and black) of original pack

    our trick may not work if same color (that of first card) is inserted between first two cards

    for rest of pack random mixing will work

    • Karanteacher

      Student 36…Can you try once, and see if you think it’s really possible to have 1st 2 cards are both red or black?

      Also, What was the original setup of cards?

  • Student 5

    It’s all because of the special arrangement of BR BR or RB RB cause none of the steps shuffle the cards

  • Student 6

    Sir the deck can be divided into 2 parts that is half black and half red , so that means when it is riffle shuffled it becomes alternate as r & b .