your teacher is giving out fruit for lunch. a paper bag contains 4 apples, 6 pears, and 8 oranges. what is…

Explanation:

Step1: Calculate total number of fruits

$4 + 6+8=18$

Step2: Calculate probability of picking an orange

The number of oranges is 8. Probability $P(\text{orange})=\frac{8}{18}=\frac{4}{9}$

Step3: Define the complement event

The complement of picking an orange is picking an apple or a pear.

Step4: Calculate probability of the complement

The number of apples and pears is $4 + 6=10$. Probability $P(\text{not orange})=\frac{4 + 6}{18}=\frac{10}{18}=\frac{5}{9}$

Step5: Compare probabilities

Since $\frac{4}{9}<\frac{5}{9}$, and $\frac{4}{9}$ is the probability of picking an orange and $\frac{5}{9}$ is the probability of picking an apple or a pear, apples or pears are more likely to be chosen.

Answer:

What is the probability you will pick an orange at random? $\frac{4}{9}$ What is the complement to this event? Picking an apple or a pear What is the probability of the complement? $\frac{5}{9}$ Which fruit is more likely to be chosen? Apples or pears