A pair of dice is rolled. what is the probability of getting a sum less than 9?
6 7 8 9 10 11 12
5 6 7 8 9 10 11
4 5 6 7 8 9 10
3 4 5 6 7 8 9
2 3 4 5 6 7 8
1 2 3 4 5 6 7
ANSWER: 26/36 = 13/18
SOLUTION :
Pair of dice rolled.
P( sum < 9) = 1 - P(sum ≥ 9)
Total space = 6 * 6 = 36 events
Events, (sum ≥ 9 ) are :
(3, 6), (6, 3), (4, 5), (5, 4), (4, 6), (6, 4), (5, 5), (5, 6), (6, 5), (6,6) = 10 events
So, P( sum ≥ 9) = 10/36 = 5/18
Hence, P (sum ≤ 9) = 1 - 5/18 = 13/18 (ANSWER).
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> Last line be read as : Hence, P(sum < 9) = 1 - 5/18 = 13/18 . Thanks.
Tulsiram Garg Tue, Nov 16, 2021 1:46 AM