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- The letters are chosen with replacement. So each time there are 6 letters to choose from.
- The word bad/ cad can be formed if the three letters in that word are picked in the three picks.
Probability of choosing ' c' or 'b' = 2/6 = 1/3.
Probability of choosing 'a' = 1/6
Probability of choosing ' b' = 1/6
These three picking events are independent.
- The order of getting them doesn't matter. So 3 ! = 6 permutations are possible.
Overall probability = 6 × 1/3 × 1/6 × 1/6
= 1/18.
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