Answer:
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Step-by-step explanation:
Two cubes have their faces as red or blue.First cube have 5 faces as red and 1 face as blue
⇒ Probability of first cube to have its face as red=
6
5
⇒ Probability of first cube to have its face as blue=
6
1
Let second cube have x faces as red.
⇒ Probability of second cube to have its face as red=
6
x
⇒ Probability of second cube to have its face as blue=(1−
6
x
)
∴ The probability that cubes show same color when thrown=(ProbabilityshowingbothasRed)+(ProbabilityshowingbothasBlue)
⇒
2
1
=(
6
5
×
6
x
)+(
6
1
×(1−
6
x
))
⇒5x−x+6=18
⇒x=3