Question
Download Solution PDFIn a simultaneous throw of a pair of dice, what is the probability of getting a sum, which is a perfect square?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
We have a pair of dice, and we need to find the probability of getting a sum which is a perfect square.
Formula used:
Probability = (Number of favorable outcomes) / (Total number of outcomes)
Calculation:
Possible sums with two dice: 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12
Perfect squares within this range: 4, 9
Favorable outcomes for sum 4: (1,3), (2,2), (3,1)
Favorable outcomes for sum 9: (3,6), (4,5), (5,4), (6,3)
Total favorable outcomes = 3 + 4 = 7
Total possible outcomes when throwing two dice = 6 × 6 = 36
Probability = (Number of favorable outcomes) / (Total number of outcomes)
⇒ Probability = 7 / 36
∴ The probability of getting a sum which is a perfect square is 7/36.
Last updated on Jun 12, 2025
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