There are two decks of cards. Deck 1 contains 50 Red cards, 30 Blue cards, and 20 Jokers. Deck 2 contains 10, 80, 10, respectively. At each stage, we select a card from a deck. If we select a Red card then, we select a card of the other deck at the next stage. If we select a Blue card then, we select a card from the same deck at the next stage. If at any stage, a Joker is selected, then the game ends. Cards are always replaced in the decks. Set up a Markov chain by defining your states properly.
Given that Two deck cards
Deck 1 Contains Red 50
Blue 30
Jocker 20
Total=50+30+20=100
Probability of selecting red card=
Probability of selecting blue card=
Probability of selecting jocker cards=
In Deck2 Contains Red 10
Blue 80
Jocker 10
Total=10+80+10=100
Probability of selecting red card=
Probability of selecting blue card=
Probability of selecting jocker card=
Here there are three stage
Stage 1: Selecting the from deck
Stage 2: Selecting the card other deck
Stage3: Game end
The transition matrix is
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