Practice problem

Casework and Law of Total Probability

+2 contributors

Contributors

Victoria Rodriguez
Victor Wang
Alex Federspiel

Suppose there are three bowls full of candy on a table. In Bowl A, $97\%$ of the candy is fruit flavored, while the other $3\%$ appear identical but are actually chocolate. In Bowl B, $74\%$ of the candy is fruit flavored and $26\%$ of the candy is chocolate. The candy in bowl C is $100\%$ chocolate.

If you choose a piece of candy randomly from a random bowl, what are the chances of picking a chocolate candy? (Round to the nearest whole percentage.)