IM 7.8.8 Practice: Keeping Track of All Possible Outcomes

Noah is planning his birthday party. Here is a tree showing all of the possible themes, locations, and days of the week that Noah is considering.
How many themes is Noah considering?
How many locations is Noah considering?
How many days of the week is Noah considering?
One possibility that Noah is considering is a party with a space theme at the skating rink on Sunday. Write two other possible parties Noah is considering.
How many different possible outcomes are in the sample space?
For each event, write the sample space and tell how many outcomes there are.
Lin selects one type of lettuce and one dressing to make a salad.[br][br][list][*]Lettuce types: iceberg, romaine[/*][*]Dressings: ranch, Italian, French[/*][/list]
Diego chooses rock, paper, or scissors, and Jada chooses rock, paper, or scissors.
Spin these 3 spinners.[br][br][img]data:image/png;base64,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[/img]
A simulation is done to represent kicking 5 field goals in a single game with a 72% probability of making each one. A 1 represents making the kick and a 0 represents missing the kick.[br][br][img]data:image/png;base64,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[/img][br][br]Based on these results, estimate the probability that 3 or more kicks are made.
There is a bag of 50 marbles.[br][list][*]Andre takes out a marble, records its color, and puts it back in. In 4 trials, he gets a green marble 1 time.[/*][*]Jada takes out a marble, records its color, and puts it back in. In 12 trials, she gets a green marble 5 times.[/*][*]Noah takes out a marble, records its color, and puts it back in. In 9 trials, he gets a green marble 3 times.[/*][/list]Estimate the probability of getting a green marble from this bag. Explain your reasoning.
Close

Information: IM 7.8.8 Practice: Keeping Track of All Possible Outcomes