Question

A box contains recipes from five categories. The following table shows the possible categories and the associated probability for a recipe randomly chosen.
Genre Probability
Main Dish 0.421
Appetizer 0.210
Desert 0.103
Salad 0.173
Vegetable 0.093
1. What is the probability of randomly selecting anything but a vegetable or a main dish category?

Answer 1

Answer:

0.486

Step-by-step explanation:

Given that a box contains recipes from five categories.

The following table shows the possible categories and the associated probability for a recipe randomly chosen.

Genre Probability

Main Dish 0.421

Appetizer 0.210

Desert 0.103

Salad 0.173

Vegetable 0.093

This is a proper probability distribution function because total prob =1 and also each prob lies between 0 and 1.

The  probability of randomly selecting anything but a vegetable or a main dish category

= Prob of selecting appetizer or dessert or salad

= $0.210+0.103+0.173\\=0.486$