Question

If you toss two dice 1,000 times, how many times do you expect to have the sum of the two dice equal to four?


about 250


about 167


about 83


about 42

Answer 1

I know one dice has 6 sides, but...why is 1/6? ...

Answer 2

167

Answer 3

The only ways that the dice can sum to 4 ar when you have:

1,3 or 2,2 or 3,1

That's 3 out of the 36 possible dice rolls, so for 1000 dice rolls:

(3/36) times 1000 = about 83

Answer 4

All good now, @crazyFiona ?

Answer 5

It is not said that the dice are distinctive, so you do not differentiate between 1,3 and 3,1

Answer 6

The dice are distinctive when you have 2. The one dice cannot be the other also at the same time! lol

36 possible rolls, my friend. Make a 2 x 2 table and you'll see why.

Answer 7

The way you can visualize this is by conceiving of a "white" die and a "black" die. You can have 3 on either with a 1 on the other.

Answer 8

That's "black" 3 with "white" 1

separate and distinct from:

"black" 1 with "white" 3

Answer 9

And there's only one way to throw a 2,2