This activity is a game with two dice as an intro to probability. The activity was taken from Math from Three to Seven (again)

### Task 1

Supplies/Preparation:Two dice and prepare a game board by drawing an 8x15 table (or print out the one in the download). Label the bottom row with numbers from 1 through 15.

What to do:Each person gets two chips (or beads) and puts each over a number (put one of yours on the number 1). Then we roll two dice. They add the numbers on the dice. If the sum match where one of their chips number, he/she gets to move that chip up one cell. Repeat rolling the dice, moving chips if appropriate. The winner is the one who gets to the top row.

After playing a couple of times the full game, you can ask why the chip in cell 1 never moved. If they don’t know, that’s ok, you can leave them to think about it and figure it out later.

We will draw the addition table and investigate the possible numbers for the sum in a later activity.

### How it went

It went well. We each had three chips. Nia got to place the first chip, then Bel, then me. We had chips on 1, 3, 5, 7, 9, 10, 11, 13, and 15. Nia managed to give the correct sum most of the times by counting on her fingers. After a few rolls, Bel said “it looks like there is a pattern” (she noticed that we chose all the odd numbers – although she called them even and I corrected her) then commented on the numbers in the middle appearing more often.

When I lamented that my chip on 1 didn’t move up. Bel asked what the lowest number on the dice were then told me that 1+1 is 2 so it would never happen. After a few turns, she also said that 13, 14, and 15 would not happen either. When I asked Nia what that meant, she wasn’t interested. BUT, on the second game, she did not put any chip on 1, 13, 14, or 15 so she must have heard our conversation.

At the end of the second game, Bel won again (with 7) and Nia started to complain that Bel always chose 7. I told her that she got the first pick and could have chosen 7. She wanted to play a third time. I didn’t want to continue but said they could keep playing with the dice. I was hoping Nia would practice her counting.

They made up their own game: They wanted to see what the second number to win would be. Bel wanted to rule out 7, 8, and 9, and see which of the other numbers would win. They lost interest really fast because I had taken the game board away (and in retrospect should have let them play a little more but I didn’t want it to get lost in the papers around the house).

### A riddle

There are two men. One of them is wearing a red shirt, and the other is wearing a blue shirt. The two men are named Andrew and Bob, but we do not know which is Andrew and which is Bob.

The guy in the blue shirt says, “I am Andrew.”

The guy in the red shirt says, “I am Bob.”

If we know that at least one of them lied, then what color shirt is Andrew wearing?

For more puzzles, go to https://brilliant.org/wiki/truth-tellers-and-liars/

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