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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=

Sagot :

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]