At the pediatrician's office, patients are able to draw a toy from the toy bin. The toy bin has 12 puzzles, 16boxes of crayons, and 2 bouncy balls. What is the probability of drawing...a box of crayons?a puzzle?anything but a bouncy ball?(write your answer as a fraction in lowest terms)

At the pediatricians office patients are able to draw a toy from the toy bin The toy bin has 12 puzzles 16boxes of crayons and 2 bouncy balls What is the probab class=


Answer :

SOLUTION

Total outcomes = 12 puzzles + 16 boxes of crayons + 2 bouncy balls = 30.

[tex]\begin{gathered} \text{Probability = }\frac{required\text{ outcome}}{\text{total outcome}} \\ \\ \text{probability of drawing a box of crayons = }\frac{16}{30}=\text{ }\frac{8}{15} \end{gathered}[/tex][tex]\text{Probability of drawing a puzzle = }\frac{12}{30}\text{ = }\frac{2}{5}[/tex]

Probability of anything but bouncy ball means the probability of drawing out a box of crayons or probability of drawing out a puzzle.

[tex]\begin{gathered} \text{This becomes = }\frac{8}{15}+\frac{2}{5} \\ \\ =\text{ }\frac{8+6}{15}\text{ = }\frac{14}{15} \\ \end{gathered}[/tex]