Questions
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 . Then number of red faces on the second cube is
detailed solution
Correct option is C
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).Similar Questions
The odd against an event are 5 to 2 and the odds in favour of another disjoint event are 3 to 5. Then the probability that atleast one of the events will happen is
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