Answer:
[tex]\textbf{Probability that the prize selected is not a bear = }\bf\frac{28}{37}[/tex]
Step-by-step explanation:
Number of tigers in carnival tossing game = 34
Number of bears in carnival tossing game = 27
Number of hippopotamuses in carnival tossing game = 12
Number of giraffes in carnival tossing game = 16
Number of monkeys in carnival tossing game = 22
Total number of animals in the carnival tossing game = 34 + 27 + 12 + 16 + 22
= 111
Probability that the prize selected is not a bear = 1 - Probability that the prize selected is a bear
[tex]\text{Probability that the prize selected is not a bear = }1 -\frac{27}{111}\\\\=\frac{111-27}{111}=\frac{84}{111}=\frac{28}{37}[/tex]
[tex]\textbf{Hence, Probability that the prize selected is not a bear = }\bf\frac{28}{37}[/tex]