Independent and Dependent Events in Math

Multiple Choice

Studying hard, getting a high grades.

• Affected

• Not Affected

Multiple Choice

Tossing a coin, rolling a die and getting a 6.

• Affected

• Not Affected

Multiple Choice

Eating a lot, gaining weight.

• Affected

• Not Affected

Multiple Choice

   Playing computer games, submitting all assignments and projects on time.

• Affected

• Not Affected

Multiple Choice

Attending a singing lesson, raining today.

• Affected

• Not Affected

Can knowing how one situation can impact another, help you make smarter choices?

How might understanding the relationship between different situations enable you to make better decisions in your daily life?

are events where the outcome of one event affects the probability of the other event occurring.

​Dependent Event

are events where the outcome of one event does not affect the probability of the other event occurring.

​Independent Event

Probability of Dependent and Independent event

1.       Rolling a 5 on consecutive turns in a game

1.       drawing a card from a deck of cards, returning it, and drawing another card.

working hard and achieving your goals.

Awarding the top 2 racers.

drawing a card from a deck of cards and drawing a second card.

Give Real Life Situations that Involves Dependent and Independent Events.

Activity #2

Dependent or Independent

Multiple Choice

1.       Flipping a coin twice

• Dependent Event

• Independent Event

Multiple Choice

2.       Picking two balls from different jars.

• Dependent Event

• Independent Event

Multiple Choice

3.       Selecting color of your shirt and color of your pants, which must be of different colors.

• Dependent Event

• Independent Event

Multiple Choice

.       Slecting the president of the group first then the vice president.

• Dependent Event

• Independent Event

Multiple Choice

5.       Selecting two different ice cream flavors for a cone.

• Dependent Event

• Independent Event

Multiple Choice

6.       Rolling a die and flipping a coin.

• Dependent Event

• Independent Event

Multiple Choice

7.       Selecting two different doors, one way in, and other way out.

• Dependent Event

• Independent Event

Multiple Choice

8.       Choosing your seat, and your friends seat for a photo shoot.

• Dependent Event

• Independent Event

Multiple Choice

1.       Selecting two letter initial for your child’s name, in which repetition of letter is possible.

• Dependent Event

• Independent Event

Multiple Choice

1.       Spinning blue and red on a spinner.

• Dependent Event

• Independent Event

Solving the Probability of Dependent and Independent Events

If two events, A and B, are independent, then probability of both events occurring is the product of the probability of A and probability of B.

​​Independent Event

If two events A and B, are dependent, then probability of both events occurring is the product of the probability of A and the probability of B after A occurs.

​​Dependent Event

1.      In a jar, there are 6 violet balls, 5 orange balls, and 4 pink balls. A ball is drawn, replaced, and a second ball is randomly selected. Find the probability that two violet balls are drawn.

2.      A bag contains 3 red, 5 blue and 2 orange marbles. If you pull two marbles one at a time with replacement what is the probability of the following.

a.       P(Blue and Red)

b.      P(Orange and Red)

3.      If you roll  six sided die, what is the probability you will roll a 5 and then a 3?

4.      A box of chocolates coantain 10 milk chocolate, 6 dark, and 4 white chocolate candies. If selected at random, what is the probability that you eat milk chocolate followed by a white chocolate?

5.      In a standard deck of card, two cards are drawn at random without replacement. Find the probability of the following:

a.       P(two king)

b.      P( Ace and Queen)

Developing Mastery

Fill in the Blank

1.      You roll a fair six-sided die twice. Find the probability that first roll is 5 and second roll is 6.

Fill in the Blank

2.      A basket contains five apples and seven peaches. You randomly select one piece of fruit and eat it. Then randomly select another piece of fruit. find the probability that The first piece of fruit is an apple and the second piece is peach.

Fill in the Blank

3.      There are eight shirts in your closet, four blue and four green. You randomly select one to wear on Monday and then a different one on Tuesday. What is probability you wear blue shirts both days.

Fill in the Blank

4.      Tom has 4 navy socks and 6 black socks in a drawer. One dark morning, he randomly pulls out 2 socks. What is the probability that he will select pair of navy socks?

Fill in the Blank

5.      From a standard deck of cards, what is the probability of choosing a red and then club with replacement?

Do you have any question?

Poll

Can you now solve problems involving Probability of dependent and independent event?

• Yes, with ease.

• Yes, with some difficulty

• Yes, with the help of friend.

• No, not yet.

Evaluation