Calculating Probability Independent and Dependent and Mutual

Determine if the events are independent or dependent.

• Independent

• Dependent

Determine if the events are independent or dependent.

• Independent

• Dependent

Determine if the events are independent or dependent.

• Independent

• Dependent

Suppose a number cube is rolled twice. What is the probability that an odd number will show both times?

• 1/3

• 1/2

• 1/6

• 1/4

A box contains 3 brand A batteries and 7 brand B batteries. 30% of brand A batteries are faulty and 40% of brand B batteries are faulty. A battery is selected at random and then checked to see if it is faulty. What is the probability that a not faulty brand A battery is selected?

• 0.21

• 0.09

• 0.28

• 0.25

Determine if each event represents dependent or independent probability.

• independent

• dependent

Clara picks a marble at random, puts it back, and then picks another marble at random. (a)  

• Dependent

• Independent

Determine if each event represents dependent or independent probability.

Flipping three coins​ (a)  

Drawing candy from a bag, not replacing it , then selecting another piece​ (b)  

Getting a marble of a bag, replacing it, then getting another​ (c)  

• independent

• dependent

Flipping two coins is an example of ​ (a)   events because the result of one event ​ (b)   affect the result of the other. Drawing two cards from a deck is an example of ​ (c)   events because the result of one event ​ (d)   affect the result of the other.

• Independent

• does not

• Dependent

• does

Mrs. Smith has to choose two pieces of fruit for her lunch. If she randomly takes two pieces of fruit from a bowl of 8 oranges and 8 apples, what is the probability she will choose two apples? (Mrs. Smith does not put back the first piece of fruit before she takes the second piece of fruit)

P(apple, apple)

Mathematical Equivalence

ON