1) There are 32 chocolates in a box, all identically shaped. There are 9 filled with nuts, 11 with caramel, and 12 are
solid chocolate. You randomly select one piece, eat it, and then select a second piece. Find the probability of
selecting 2 solid chocolates in a row.

The probability of  selecting 2 solid chocolates in a row is 13.31% and this can be determined by using the given data and concept of probability.

Given :

The probability to pick one solid chocolate in the first attempt is:

P = 0.375

The probability to pick another solid chocolate in the second attempt is:

So, the probability of  selecting 2 solid chocolates in a row is given by:

%

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answer

≈ 0.1331 = 13.31 %

first chocolate

the probability of picking a chocolate the first time is

there are 12 solid chocolates and 32 total chocolates

= =

second chocolate

the probability of picking a chocolate the first time is

since we already picked a solid chocolate the first time, there is one less solid chocolate and one less total chocolate

there are 12 - 1 = 11 solid chocolates and 32 - 1 = 21 total chocolates

=

total probability

to find the probability of both being solid chocolates, multiply their individual probabilities together

=

=

≈ 0.1331

= 13.31 %

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