You have two bags of marbles and a fair coin.the first bag has two white marbles and seven black marbles. the second bag has five white marbles and six black marbles. we flip the coin to observe a heads or tails. If the coin's outcome is heads, we drawa marblefrom the first bag. If the coins outcome is tails, we drawa marble from the second bag. We want to find the probability that the outcome of the coin flip is heads given that a white marble is selected? Please show work and answerfor below Probability of white marble drawn = ?, Probability of Heads=?, Probability of tails= ? Probability of white marble drawn given heads ? Probability of heads given that a white marble is selected = ?

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