Aptitude - Probability - Discussion

Discussion Forum : Probability - General Questions (Q.No. 4)
4.
What is the probability of getting a sum 9 from two throws of a dice?
1
6
1
8
1
9
1
12
Answer: Option
Explanation:

In two throws of a dice, n(S) = (6 x 6) = 36.

Let E = event of getting a sum ={(3, 6), (4, 5), (5, 4), (6, 3)}.

P(E) = n(E) = 4 = 1 .
n(S) 36 9

Discussion:
52 comments Page 5 of 6.

Kanchi said:   1 decade ago
s is a sample space i.e all possible outcomes
if two coins are tossed then s={HH,TT,HT,TH}
same in this qu. two dice -use then no of possible outcome
s={(1,1),(1,2),(1,3),(1,4),(1,5),(1,6)},
{(2,1),(2,2),(2,3),(2,4),(2,5),(2,6)}
..........
{(6,1),(6,2),(6,3),(6,4),(6,5),(6,5)}

n(s)=6+6+6+6+6+6=36
or
6*6=36

Anurag said:   1 decade ago
Ankita:.

Because 6c1 * 6c1 is 36.

Ankita said:   1 decade ago
How do we know that we have to pick up 6 * 6?

Syam said:   1 decade ago
{ (3, 6) , (4, 5) , (5, 4) , (6, 3) } is a case only.

We can get (6, 3) , (5, 4) , (3, 6) , (4, 5) also.

So answer is 8/38 = 2/9.

Am I correct ?

Harikannan said:   1 decade ago
How to find event that is (3, 4) (4, 5) (5, 4) (6, 3) please explain.

Sreejith said:   1 decade ago
@Azam

In both throughs, it can be any of 1,2,3...,6(6C1 ways of selection). So total number of outcomes = 6C1*6C1 = 36

More clearly, the elements of sample spaces are

{(1,1),(1,2),(1,3),....,(2,1),(2,2),.....(6,1),(6,2),....(6,6)}

Hope you got it.

Srinivas said:   1 decade ago
n(s)=36

n(a)=[36][45][63][54]

p(a)=4/36=1/9

Krish said:   1 decade ago
How it could be n(s)= (6 x 6)

AZAM said:   1 decade ago
In two throws of a dice, n(S) = (6 x 6) = 36.

HOW IT DO
PLEASE EXPLAIN

VIAN said:   1 decade ago
@rama.

That is because the event of finding the sum 9 is 4.


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