Question
Download Solution PDFTwo dice are thrown at a time. The probability that the sum of the numbers on their faces is a prime number is
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFFormula:
Probability = \(Desired\ outcome \over Total\ outcome\)
Calculation:
If two dice are thrown at a time, then the no. of ways to get that the sum of the numbers on their faces is a prime number = (1,1);(1,2); (1,4);(1,6);(2,1);(2,5);(2,3);(3,2);(3,4);(4,3);(4,1);(5,2);(5,6);(6,1);(6,5)
So, total no. of ways to get desired outcome = 15
Total no. of outcome when two dice thrown at a time = 6 x 6 = 36
So, The probability that the sum of the numbers on their faces is a prime number = 15/36 = 5/12
The probability that the sum of the numbers on their faces is a prime number is 5/12
Last updated on Jun 3, 2025
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