The prizes at a carnival tossing game are different stuffed animals. there are 34 tigers, 27 bears, 12 hippopotamuses, 16 giraffes, and 22 monkeys. the carnival manager randomly selects a prize when a player wins the game. determine the probability that the prize selected is not a bear.

Respuesta :

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]