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Mathematics
Two dice are thrown together . If both numbers appearing are different, then what is the probability that their sum is 5 ?
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Q. Two dice are thrown together . If both numbers appearing are different, then what is the probability that their sum is 5 ?
KEAM
KEAM 2019
A
$\frac{1}{6}$
B
$\frac{1}{9}$
C
$\frac{1}{12}$
D
$\frac{1}{5}$
E
$\frac{2}{15}$
Solution:
Favourable outcomes : $(1,4),(2,3),(3,2),(4,1)$
$P($ sum $=5)=\frac{4}{6 \times 5}=\frac{2}{15}$