Question

a zoo adds new animals. 20 are s, 34 are zebras, 12 are elephants, and 4 are lions. find the probability that a new animal is not a monkey. p(not a monkey) = ? round your answer to the nearest hundredth.

Explanation:

Step1: Calculate total number of animals

First, we need to find the total number of new animals. We add the number of each type of animal: monkeys (20), zebras (34), elephants (12), and lions (4). So the total number of animals \( n = 20 + 34 + 12 + 4 \).
\( n=20 + 34+12 + 4=70 \)

Step2: Calculate number of non - monkey animals

The number of non - monkey animals is the total number of animals minus the number of monkeys. So the number of non - monkey animals \( m=70 - 20=50 \)

Step3: Calculate the probability of not being a monkey

The probability \( P(\text{Not a Monkey})=\frac{\text{Number of non - monkey animals}}{\text{Total number of animals}}=\frac{50}{70}\)
Simplify \(\frac{50}{70}=\frac{5}{7}\approx0.71\) (rounded to the nearest hundredth)

Answer:

\(0.71\)