Question

If 3 dice is thrown the probability off getting even number on each dice is

Answer 1

Answer:

1/8

Step-by-step explanation:

Step 1:

The total sample space of rolling out 3 dice will be 216.

Step 2: The even numbers on a dice are 2, 4, 6.

Step 3: Logically, all three evens will have 2 types of possible solutions -

a) All the three numbers on dice are even (2,2,2) or (4,4,4) or (6,6,6).

b) It's a permutation and combination of the above 3 numbers. So something like (2,4,6) or (2,2,4) or (2,4,2) and so on….(Mind you, there will be many! Okay, Just kidding.)

So you can opt for combinations and that will easily solve the problem. I won't do the math, otherwise you won't understand the real struggle.

Still, I'm available to help you out with it, if needed.

Step 4: To find the final probability, divide the answer obtained from Step 3 by 216 and you have your final answer.

Final answer: 27/216 that is 1/8.