Question

HELP ASAP

Two standard 6-sided dice are rolled. What is the probability that the sum rolled is a perfect square?

Answer 1

there are 36 ways to roll two dice, of these ways how many sum to a perfect square

Answer 2

3

Answer 3

Here is the sample space for rolling two dice
Note : (1,1) means (first die 1, second die 1)

(1,1) (1,2) (1,3) (1,4) (1,5) (1,6)
(2,1) (2,2) (2,3) (2,4) (2,5) (2,6)
(3,1) (3,2) (3,3) (3,4) (3,5) (3,6)
(4,1) (4,2) (4,3) (4,4) (4,5) (4,6)
(5,1) (5,2) (5,3) (5,4) (5,5) (5,6)
(6,1) (6,2) (6,3) (6,4) (6,5) (6,6)

Answer 4

ooh nice

Answer 5

the possible sums are {2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12}

Answer 6

which of these possible sums are perfect squares

Answer 7

(1, 3) (3, 1) (2, 2) (3, 6) (6, 3) (4, 5) (5, 4)

Answer 8

Right?

Answer 9

So is the probability 7/36?

Answer 10

yes

Answer 11

Thank you!! :)