Vocabulary: Remember... Independent Events– when one event does ____________________ affect the outcome of another event. For example, when two coins are tossed, the result of the 2 nd coin does NOT depend on what the first coin lands on. Both coins have a 50% chance of landing on heads (or tails) no matter what. Dependent Events– when the outcome of one event _________________________________ on the outcome of the other event. For example, picking two Aces in a row from a standard deck of cards WITHOUT replacing the first card. Let’s work this out... Math-8 NOTES DATE: ______/_______/_______ What: probability of compound, dependent events Why: To calculate the probability of compound, dependent events. What: probability of compound, dependent events Why: To calculate the probability of compound, dependent events. NAME: Scenario Dependent or Independent? 1.Out of a bag of 20 marbles, calculating the probability of picking a red marble, setting it aside, and picking a green marble. 2.When flipping a coin and rolling a die, calculating the probability of getting heads and a 4. 3.Out of a bucket of tootsie pops, calculating the probability of picking a cherry, putting it back in the bucket, and then picking an orange. 4.When flipping three coins at once, calculating the probability of getting three heads in a row. 5.From a standard deck of cards, calculating the probability of picking a red Queen, keeping it, and then picking a black Jack. 6.From a standard deck of cards, calculating the probability of picking a diamond, replacing the card, and picking the six of hearts.
PROBABILITY TRIALS (compound, dependent events) 1)Trial One: Tootsie Pop Pick (2 Picks) Out of 20 Trials (2 picks each), how many times will a grape get picked twice – P(grape and grape)? The pops will NOT be replaced after each pick. -Probability : -What is our percentage chance? - Results of experiment: - Did the results match what should have happened? 2) Trial Two: Picking a Heart and a Black Card After 20 trials, how many times will a heart AND a black card be chosen (first card will NOT be replaced) -- P(heart and black card)? -Probability : -What is our percentage chance? - Results of experiment: - Did the results match what should have happened? 3)Trial Three: Picking an Ace and a King After 20 trials, how many times will an Ace and a King be picked (first card will NOT be replaced) – P (Ace and a King)? -Probability : -What is our percentage chance? - Results of experiment: - Did the results match what should have happened?
Sample compound, dependent event problems... SCENARIOANSWER 1)From a standard deck of cards, what is the probability of picking a red Queen, setting the card aside, and then picking a diamond? 2)There are 3 orange, 4 cherry, and 5 grape starburst in a bag. You will pick two in a row without replacing any. What is the probability that you will choose two oranges in a row? 3)There are 2 orange, 3 cherry, and 4 chocolate pops in a bag. You will pick two in a row without replacing any. What is the probability that you will pick a chocolate and a cherry? 4)Erik is one out of 20 total students in his class. What is the probability that Erik will be one of two students randomly chosen to have lunch with Mr. Runfola? 5)There are 12 girls and 10 boys in Ms. Dyson’s class. If all the students’ names are put into a hat and Ms. Dyson randomly chooses two names (without replacing them), what is the probability that the names chosen will be a boy and a girl?
DATE: ______/_______/_______NAME:_____________________________________________________________________________