Mathematics - Probability Question with Solution | TestHub
MathematicsProbabilityIndependent eventsMedium2 minQB
MathematicsMediuminteger
Three coloured boxes, i.e., Red (R), Blue (B), Green (G), contains 3 balls each, of the same colours as that of the box. A ball is chosen from the ' R ' box and put in one of other two boxes. Again a ball is chosen randomly from the box ' B ' and put in one of other boxes. Same process is repeated with box 'G'. If given that each box have equal number of balls after this process and P is the probability that composition of balls is not exactly same as in the beginning of random experiment, then value of 32P is
Answer:
31
Solution:
Let denote the probability that every box has three balls each. is the probability that each box has balls of the same color as that of the box. The required probability is .
Cases: or .
Stream:JEESubject:MathematicsTopic:ProbabilitySubtopic:Independent events
⏱ 2mℹ️ Source: QB
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