A model builder has 30 pieces of balsa wood in a box. Four pieces are 15 inches long, 10 pieces are 12 inches long, and the rest are 8 inches long. What is the probability the builder will pull an 8-inch piece from the box without looking?

Respuesta :

There is about a 16.5% chance to pull an 8-inch piece, this is theoretical probability though. 

Answer:

The probability is 53.33%.

Step-by-step explanation:

A model builder has 30 pieces of balsa wood in a box.

4 pieces are 15 inches long.

10 pieces are 12 inches long.

Says rest are 8 inches. So, rest are [tex](30-14=16)[/tex]

16 pieces are 8 inches long.

Now, we have to tell the probability the builder will pull an 8-inch piece from the box without looking.

The probability is given by=

[tex]\frac{number of possible outcomes}{total number of outcomes}[/tex]

Hence, the probability is : [tex]\frac{16}{30}[/tex] or [tex]\frac{8}{15}[/tex]

If we want this in percentage this is 53.33%.