Question: When 4 dice are thrown, what is the probability that the same number appears on each of them?
- 1/36
- 1/18
- 1/216
- ⅕
- ⅛
Correct Answer: C
Solution and Explanation:
Approach Solution 1:
Given in the question that 4 dice are thrown. It is asked to find the probability that all the numbers are the same.
This is a question from the topic of probability.
There are 6 digits on the dice and the probability of getting any number on the throw is ⅙
The probability of getting the same number on four dices will be = ⅙ *⅙*⅙*⅙
= (⅙)^4 = 1/1296
But there are six numbers on the dice
So the probability of getting the same number on four dices will be = 6* 1/1296 = 1/216
Approach Solution 2:
Given in the question that 4 dice are thrown. It is asked to find the probability that all the numbers are the same.
This is a question from the topic of probability.
The total number of combinations possible from the throw of 4 dices = 6*6*6*6
As a dice has 6 faces.
Total combination = 1296
No of combinations containing the same number (1111,2222,3333,4444,5555,6666)
= 6
The probability that all the four numbers are the same = 6/1296 = 1/216
Approach Solution 3
The first die can be any number.
The chance that the second die matches the 1st is 1/6.
The chance that the 3rd die matches the 1st two is 1/6, and the chance that the 4th die matches is 1/6.
We have 1/6 x 1/6 x 1/6 = 1/216.
“When 4 dice are thrown, what is the probability that the”- is a topic of the GMAT Quantitative reasoning section of GMAT. To solve GMAT Problem Solving questions a student must have knowledge about a good amount of qualitative skills. GMAT Quant practice papers improve the mathematical knowledge of the candidates as it represents multiple sorts of quantitative problems.
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