Probability Answers

Probability - Quant/Math - CAT 2008

Question 4 the day: May 21, 2003

The question for the day is from the topic of Probability.

When 4 dice are thrown, what is the probability that the same number appears on each of them?

(1)	1/36			(2)	1/18
(3)	1/216			(4)	1/5

Correct Answer - (3)

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Solution:


Sample space (Denominator): When 4 dice are thrown simultaneously, then the total number of possible outcomes is 6⁴ = 1296

Event (Numerator): The chances that all the dice show same number (1,1,1,1), (2,2,2,2), (3,3,3,3), (4,4,4,4), (5,5,5,5), (6,6,6,6)} is 6.

Probability = Event/ Sample space = 6/6⁴ = 1/6³ = 1/216.