Two cubes have their faces painted either red or blue. The first cube has five red faces and one blue face. When the two cubes are rolled simultaneously, the probability that the top faces of two cubes shows the same colouris $$12$$ . Then number of red faces on the second cube is

Question

Two cubes have their faces painted either red or blue. The first cube has five red faces and one blue face. When the two cubes are rolled simultaneously, the probability that the top faces of two cubes shows the same colouris $$12$$ . Then number of red faces on the second cube is

Infinity Learn · Accepted Answer

Given the number of red faces on the $$1st$$  cube is $$5The$$ number of blue faces on the $$1st$$ cube is $$1Let$$ the number of red faces on the $$2nd$$ cube is xThe number of blue faces on the $$2nd$$ cube is $$6-xProbability$$ of getting red face on $$1st$$ cube is $$56Probability$$ of getting blue face on $$1st$$ cube is $$16Probability$$ of getting red face on $$2nd$$ cube is $$x6Probability$$ of getting blue face on $$2nd$$ cube is $$6$$−$$x6Required$$ probability PRR or $$BB=12$$⇒$$P(RR)+P(BB)=12$$⇒$$56$$⋅$$x6+16$$⋅$$6$$−$$x6=12$$⇒$$5x+6$$−$$x=18$$⇒$$4x=12$$⇒$$x=3Therefore$$, the correct answer is (3).

Two cubes have their faces painted either red or blue. The first cube has five red faces and one blue face. When the two cubes are rolled simultaneously, the probability that the top faces of two cubes shows the same colouris $\frac{1}{2}$ . Then number of red faces on the second cube is

Remember concepts with our Masterclasses.

Ready to Test Your Skills?

free study material

Two cubes have their faces painted either red or blue. The first cube has five red faces and one blue face. When the two cubes are rolled simultaneously, the probability that the top faces of two cubes shows the same colouris 12 . Then number of red faces on the second cube is

Remember concepts with our Masterclasses.

Ready to Test Your Skills?

free study material

Two cubes have their faces painted either red or blue. The first cube has five red faces and one blue face. When the two cubes are rolled simultaneously, the probability that the top faces of two cubes shows the same colouris $\frac{1}{2}$ . Then number of red faces on the second cube is