A company with 40 employees has a company picnic with two ty

A company with 40 employees has a company picnic with two types of prize drawings. The door prize drawing uses sampling with replacement so that employees have a chance to win multiple door prizes. The grand prize drawing uses sampling without replacement because the employees are not allowed to win multiple grand prizes.     What is the probabilty that Jason an employee wins the first door prize?   Jason wins the first door prize. What is the probabilty that he will win the second door prize? There are 8 employees in the marketing dept. What is the probabilty that one of the members of the marketing dept. wins the first grand prize?

Solution

hat is the probabilty that Jason an employee wins the first door prize?

Probability = 2C1 / 40C2 = 0.002564

What is the probabilty that he will win the second door prize?

Probability = 2C1 / 39C2 = 0.002699

What is the probabilty that one of the members of the marketing dept. wins the first grand prize?

Probability = 8C1 / 40C1 = 0.2