Aptitude - Probability - Discussion

Discussion Forum : Probability - General Questions (Q.No. 6)
6.
Two dice are thrown simultaneously. What is the probability of getting two numbers whose product is even?
1
2
3
4
3
8
5
16
Answer: Option
Explanation:

In a simultaneous throw of two dice, we have n(S) = (6 x 6) = 36.

Then, E = {(1, 2), (1, 4), (1, 6), (2, 1), (2, 2), (2, 3), (2, 4), (2, 5), (2, 6), (3, 2), (3, 4),
     (3, 6), (4, 1), (4, 2), (4, 3), (4, 4), (4, 5), (4, 6), (5, 2), (5, 4), (5, 6), (6, 1),
     (6, 2), (6, 3), (6, 4), (6, 5), (6, 6)}

n(E) = 27.

P(E) = n(E) = 27 = 3 .
n(S) 36 4

Discussion:
67 comments Page 4 of 7.

Shishirkumar said:   8 years ago
3 cases.

even* odd=even.
even * even =even.
odd * even= even.
add all
(3/6*3/6)+3/6*3/6)+(3/6*3/6)=3/4.

Phani said:   1 decade ago
Provide shortcuts also with these explanations then we can able to do solve the problems very fastly.

NIKHIL said:   1 decade ago
Sir please any one explain in a question ask product of even number but in solution shown odd number.

Maruthi said:   1 decade ago
Sir i am not getting probability event....three dice means how can we take the events...pls tell me.

Andrew007 said:   9 years ago
Even + odd = odd.

Example: even 2 + odd 3= 5 which is odd.
So, the answer should be 1/2.

Thangamuthu said:   1 decade ago
How it is.....? only 18 even numbers combinations are possible ....?so ans must be 1/2. .

Yebs said:   4 years ago
n(s) = 36*2=72.
n(E)=27*2.

Since it's two dice thrown simultaneously.
Then; 54/72 = 3/4.
(3)

Narendra said:   1 decade ago
Hi @bharath. K.

I am not understand below line.
n(S) = 6*6 = 36.

Why we are taking 6*6?

Scalar said:   9 years ago
Shouldn't the answer be 1/2?

The solution lists odd combinations, such as 4 and 1.

Ch. Anusha said:   1 decade ago
I do not understand because it is too lengthy process. Please tell the shortcuts.


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