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Probability - Quant/Math - CAT 2013
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 |
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(2) |
1/18 |
| (3) |
1/216 |
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(4) |
1/5 |
Correct Answer - (3)
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.
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