Question

We toss a dice 1,000 times. How many times do we expect to have the sum of the two dice equal to 4?

A. about 250
B. about 167
C. about 83
D. about 42

Answer 1

Well, i would say C

Answer 2

We toss two dice 1000 times?

Answer 3

wait man, the question is tripping me up

Answer 4

Wait a second. What's the set up? Is it:
- We roll TWO dice 1000 times and we're looking at the sum of their numbers
or
- We roll ONE die 1000 times and we add up the numbers for every pair of rolls?

Answer 5

can i get a clarification please, is it two or 1

Answer 6

two dice i guess

Answer 7

Well, it has to be two

Answer 8

It says we TOSS so I guess aka ROLL TWO die..

Answer 9

Ok. So if you roll two dice, there 6 x 6 = 36 outcomes. How many of those add up to 4?

Answer 10

there are 36 outcomes and 3 of those add to 4

Answer 11

shh! You've giving it away :-)

Answer 12

there are 6*6 possible combinations for tossing two dice once

Answer 13

now, she still has to find the probalblilty

Answer 14

Ya I don't know soooo...

Answer 15

the question now is: what proportion or fraction of the rolls sum to 4?

Answer 16

Think of this, considering the information that we have given you, what is the probablility of a sum of 4 on one roll?

Answer 17

Suppose that number is p. Then the number of rolls that we expect to add up to 4 will be
p times the number of rolls, i.e.,

1000p.

So what's p? What proportion or fraction of the 36 gives us the result we want?

Answer 18

83?

Answer 19

yehh 83 cox 1000/12 is approx equal to 83

Answer 20

So thats right then?

Answer 21

the exact answer is 250/3, or 83.3 (repeating)