Question

A bowl of apples contains 6 red delicious, 7 granny smith, and 3 macintosh. Find the probability of choosing a macintosh and then a granny smith, if the apples get put back in the bowl after they're chosen.

Answer 1

The total number of apples in the bowl is:

$6+7+3=16$

This way, the probability of choosing a Macintosh is:

$\frac{3}{16}$

And the probability of choosing a Granny Smith is:

$\frac{7}{16}$

To get the probability of the two events hapening right after each other (choosing a Macintosh and then a Granny Smith), we multiply the probability of both events happening separately:

$\frac{3}{16}\cdot\frac{7}{16}=\frac{21}{256}=0.082$

Meaning there is a 8.2% chance of choosing a Macintosh and then a Granny Smith