Question

Three dice are thrown. What is the probability the sum is a perfect square?

Answer 1

Is it a fair cubical dice

Answer 2

pretty much

Answer 3

by perfect square do you mean the number is the square of a natural number?

Answer 4

dice r similar????

Answer 5

by perfect square i mean x = y^2

Answer 6

@bhaskarbabu with that information...similarity is already assumed

Answer 7

4 ,9,16 are the possible numbers

Answer 8

yes

Answer 9

The sample space has 6 * 6 * 6 possible outcomes. this is going to take me a little time.

Answer 10

so the probability of the sum equal to 1,4,9,16

Answer 11

k @lgbasallote

Answer 12

oh, you cannot roll a one on three dice

Answer 13

3 is the minimum..18 max

Answer 14

1/24

Answer 15

not exactly...

Answer 16

Is it 1/9 ?

Answer 17

how are you getting these numbers...

Answer 18

@lgbasallote is it not 1/24

Answer 19

no

Answer 20

sample space is 6^3=216

there are three ways to roll a four

Answer 21

4---> 1+1+2 ---->3!/2!
9--->1+2+6 , 2+2+5, 2+3+4 ---->3! + 3!/2! + 3!
16-->6+6+4 , 6+5+5 ---->3!/2! + 3!/2!

Answer 22

Did I miss something?

Answer 23

@sauravshakya in case you forgot arithmetic... 3 + 3 + 3 is also 9...

Answer 24

oh....

Answer 25

sorry 5/108

Answer 26

Then it is 25/6^3

Answer 27

not exactly...

Answer 28

6^3 is right though

Answer 29

@lgbasallote is it 5/108

Answer 30

no

Answer 31

no

Answer 32

is it 9/20?

Answer 33

no

Answer 34

where are you getting those numbers?

Answer 35

it is 1/24 of sure

Answer 36

..no

Answer 37

there are only 9 ways of getting a perfect square
112
126
135
144
225
234
333
664
655

Answer 38

9/216 = 1/24

Answer 39

there are actually 34 ways...

Answer 40

But is rolling a 112 different from rolling a 121?

Answer 41

@baldymcgee6 if the dice r similar both r same

Answer 42

actually, they're different

Answer 43

i mean 112 and 121 <--different

Answer 44

if the dice r similar how can u distinguish them

Answer 45

think about probability

Answer 46

i'm talking about probability

Answer 47

112
126
135
144
225
234
333
664
655
these nine ways can be arranged in 34 ways

Answer 48

There are 3 ways to roll a 4, 25 ways to roll a 9 and 6 ways to roll a 16.
Probability of a perfect square is 34/216

Answer 49

Yes it is 34/216

Answer 50

i will not agree 34/216 for this question
it should be 9/216 unless those dice are arranged in order