Question

QUESTION 4

There are 39 chocolates in a box, all identically shaped. There 16 are filled with nuts, 13 with caramel, and 10 are solid

chocolate. You randomly select one piece, eat it, and then select a second piece. Find the probability of selecting a nut

chocolate followed by a caramel chocolate.

Answer 1

The probability of selecting nut chocolate followed by a caramel chocolate is

=(15/38)(13/39)

=15/144

=.1315

Explanation

The probability of selecting first piece as a nut chocolate is

Nut chocolate = 16

total chocolates = 39

probability of nut chocolate=16/39

The probability of selecting first piece as a nut chocolate is 15 out of 38

=15/ 38

probability of caramel chocolate = 13/39

then 15/38 th time you select a nut chocolate by caramel

So

=(15/38)(13/39)

=15/144

=.1315