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What is the conditional probability of these events when we randomly select a permutation of the...

What is the conditional probability of these events when we randomly select a permutation of the 10 decimal digits: ‘0123456789’? a. The permutation is exactly ‘1357924680’, given that the first eight digits are ‘13579246’. b. The permutation’s last two digits are ‘57’, in that order, given that the permutation does not end with ‘4’. c. The first and last digits of the permutation sum to 11, given that the fourth digit is ‘8’, and the fifth digit is ‘9’.

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