Chapter 12 Lesson 4 Multiplying Probabilities. Vocabulary  Area Diagram- A model of the probability of two events occurring.

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Presentation transcript:

Chapter 12 Lesson 4 Multiplying Probabilities

Vocabulary  Area Diagram- A model of the probability of two events occurring

Probability of Two Independent Events  If two events, A and B, are independent, then the probability of both events occurring is P(A and B) = P(A) * P(B)

Two Independent Events  At a picnic, Julio reaches into an ice-filled cooler containing 8 regular soft drinks and 5 diet soft drinks. He removes the can, then decides he is not really thirsty, and puts it back. What is the probability that Julio and the next person to reach into the cooler both randomly select a regular soft drink?

Two Independent Events  At a promotional event, a radio station lets visitors spin a prize wheel. The wheel has 10 sectors of the same size for posters, 6 for T-shirts, and 2 for concert tickets. What is the probability that two consecutive visitors will win posters?

Three Independent Events  In a board game, three dice are rolled to determine the number of moves for the players. What is the probability that the first die shows a 6, the second die shows a 6, and the third die does not?

Three Independent Events  In a state lottery game, each of three cages contains 10 balls. The balls are each labeled with one of the digits 0-9. What is the probability that the first two balls drawn will be even and the third will be prime?

Probability of Dependent Events  If two events, A and B, are dependent, then the probability of both events occurring is P(A and B) = P(A)*P(B following A)

Two Dependent Events  The host of a game show is drawing chips from a bag to determine the prizes for which contestants will play. Of the 10 chips in the bag, 6 show television, 3 show vacation, and 1 shows car. If the host draws the chips at random and does not replace them, find the probability that he draws a vacation, then a car.  What is the probability that the host draws two televisions?

Three Dependent Events  Three cards are drawn from a standard deck of cards without replacement. Find the probability of drawing a diamond, a club, and another diamond in that order.  Find the probability of drawing three cards of the same suit.

Homework  Pages  even