SOLUTION: A dice is thrown three times and the sum of three numbers thrown is 15. Find the probability that the number on the first throw is 4.
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Question 942792: A dice is thrown three times and the sum of three numbers thrown is 15. Find the probability that the number on the first throw is 4. Answer by Edwin McCravy(20063) (Show Source):
The sample space consists of these 10 possible rolls:
(1st roll) + (2nd roll) + (3rd roll) = 15
3+6+6 = 15
4+5+6 = 15
4+6+5 = 15
5+4+6 = 15
5+5+5 = 15
5+6+4 = 15
6+3+6 = 15
6+4+5 = 15
6+5+4 = 15
6+6+3 = 15
2 of those 10 have 4 on the first roll.
Answer: 2 out of 10 or which reduces to .
Edwin
