Lesson 5.6 Multiplication Rule for Independent Events

In one town, 44% of all voters are Democrats. If two voters are randomly selected for a survey, find the probability that they are both Democrats. [Round your answer to three decimal places.]

(a)  

Two different people are randomly selected from the 991 subjects, find the probability that they are both heavy smokers.

Dependent or independent?

• Dependent

• Independent

Find the probability of correctly answering the first 3 questions on a multiple choice test if random guesses are made and each question has 6 possible answers.

Dependent or Independent?

• Dependent

• Independent

Find the probability of correctly answering the first 3 questions on a multiple choice test if random guesses are made and each question has 6 possible answers. [Write your answer as a fraction.]

(a)  

You flip a coin three times. What is the probability of three consecutive heads?

• ½
• ⅓
• ⅙
• ⅛

What is the probability of rolling a dice and landing on a 4, and then rolling the dice again and landing on any even number?

• 1 ⁄ 6
• 1 ⁄ 8
• 1 ⁄ 2
• 1 ⁄ 12

A website offers a coupon such that each customer has a 17% chance of getting the coupon each day they visit the site. Amira visits the website for 7 consecutive days.

What is the probability that at Amira will be offered a coupon on at least one of the days she visits the website?

• .9999

• .2714

• .7286

• .83

You work in the quality control department for a cell phone charger company.  There is a 0.005 probability that the charger made is defective.  If you randomly select 250 chargers, what is the probability that at least one charger is defective?

• 0.29
• 0.71
• 0
• 0.995

To find the probability of at least one, calculate

• 1 - P(E)

• 1 - P(none)

• P(E) + P(not E)

• 1 + P(E)

Barry Bonds has a career batting average of .298. What is the probability that he will get a hit at least once in 4 at bats?

• .757

• .579

• .2267

• 0.857