A box contains seven action, six comedies, eight dramas, and five science fiction films. Find the probability of choosing a comedy, putting it back, a science fiction, putting it back and then choosing a comedy.
The answer choices are:
45/4394
or
30/2197

Question

A box contains seven action, six comedies, eight dramas, and five science fiction films. Find the probability of choosing a comedy, putting it back, a science fiction, putting it back and then choosing a comedy.
The answer choices are:
45/4394
or
30/2197

jack1 · Answer

7+6+8+5 = 26 movies
P(comedy then sfiction then comedy) = P (comedy) x P (sci fi) x P (comedy)
$\large P = \frac {7}{26}  \times  \frac {5}{26} \times  \frac {7}{26}$

=???