In a certain market, there are three brands of Lipsticks A, B and C. Given that a lady last purchased
lipstick of brand A, there is 60% chance that she would continue with brand A, 30% and 10% chances
that she would shift to brands B and C, respectively. Given that a lady last purchased lipstick of brand
B, there is 50% chances that she would shift to brand A and 10% chance to brand C. Given that a lady
last purchased lipstick of brand C, there is 60%, 20% chances that she would shift to brands A and B
respectively. The present market share of three brands A, B and C is 60%, 30% and 10% respectively.
Using this information, find the market share of the brands A, B and C in the steady state.
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