10. Whenever Hannah turns on her cell phone, it randomly shows a background image from a group of 6 images Hannah has selected. Of the 6 images Hannah has selected,
- exactly 2 are of her friends,
- exactly 3 are of her family members, and
- exactly 1 is of her pet dog.
What is the probability that the cell phone shows an image other than the pet dog the next time Hannah turns on her cell phone?

Answer

Expert–verified

Hide Steps

Answer

$P (not pet dog) = \frac{5}{6}$

Steps

Step 1 ： $P (not pet dog) = \frac{number of non-pet dog images}{total number of images}$

Step 2 ： $P (not pet dog) = \frac{2 + 3}{6}$

Step 3 ： $P (not pet dog) = \frac{5}{6}$