10.1 Outcomes and Events
You are rolling a number cube. You want to roll an odd number.
What is the experiment?
Experiment: Rolling a number cube.
There is a 7% chance Mrs. Ku will grow taller. What is the likelihood of this event?
(Hint: your answer should be a word)
Impossible
You roll a number cube 10 times. Here are your results:
1: II 2: I 3: 4:II 5: III 6: II
What is the experimental probability of rolling a 2?
1/10
Using Fundamental Counting Principle, find the total number of possible outcomes of rolling a number cube and flipping a coin.
12 possible outcomes
You spin a spinner numbered 1-5 and flip a coin. What is the probability of spinning a number greater than 2 and flipping heads?
3/5 x 1/2=
3/10
You are rolling a number cube. You want to roll an odd number.
What is the event?
Event: Rolling an odd number.
There is a 75% chance the table with the most points will get candy. What is the likelihood of this event?
(Hint: your answer should be a word)
Likely
You roll a number cube 10 times. Here are your results:
1: II 2: I 3: 4:II 5: III 6: II
What is the experimental probability of rolling an odd number?
1/2
Using Fundamental Counting Principle, find the total number of possible outcomes of outfits. 7 shirts, 4 pairs of jeans, and 4 pairs of shoes.
112 total possible outcomes
You choose a letter tile A-Z from a bag. You choose the first tile and replace it. Then you choose a second tile.
Is this event dependent of independent?
Independent event
You are rolling a number cube. You want to roll an odd number.
What are outcomes?
Outcomes: 1,2,3,4,5,6
You roll a number cube. What is the probability of rolling a 3?
(Hint: your answer should be a fraction!)
1/6
You roll a number cube 10 times. Here are your results:
1: II 2: I 3: 4:II 5: III 6: II
What is the theoretical probability of rolling an 2?
1/6
What is the compound probability of rolling a number greater than 4 and flipping tails?
2/6 x 1/2= 2/12
1/6
You choose a letter tile A-Z from a bag. You choose the first tile and don't replace it. Then you choose a second tile.
Is this event dependent of independent?
Dependent event
You are rolling a number cube. You want to roll an odd number.
What are the favorable outcomes?
Favorable outcomes: 1,3,5
You pick a letter tile A-Z from a bag. What is the probability of choosing a vowel?
(Hint: your answer should be a fraction)
5/26
The theoretical probability of choosing a red marble from a bag is 7/12. There are 36 marbles in the bag. How many are red?
21 red marbles
You flip three quarters. What is the compound probability of flipping three tails?
1/8
In a class of 36 students, you are with 2 relatives and 8 friends. What is the probability of one of your relatives being chosen first, and then one of your friends second?
Give your answer as a percent rounded to the nearest hundredth.
Bonus (100pts): Dependent or Independent event?
8/36 x 2/35 = 16/1260
1.27%
Bonus: Dependent event
You have number tiles 1-10 in a bag. You want to choose multiples of 5.
What is the experiment, event, outcomes, favorable outcomes?
Experiment: Choosing a number.
Event: Choosing a multiple of 5.
Outcomes: 1,2,3,4,5,6,7,8,9,10
Favorable outcomes: 5, 10
The probability of choosing a green marble from a bag of 40 is 3/8. How many green marbles are in the bag?
15 green marbles
It did not rain the last 4 out of 5 days. If this trend continues in June. How many non-rainy days would you expect in June?
(30 days in June)
24 non-rainy days
You flip three quarters. What is the compound probability of flipping 2 tails and 1 head?
3/8
In a class of 36 students, you are with 2 relatives and 8 friends. What is the probability that neither you, your relatives, or your friends are chosen first or second?
Write your answer in percent form and round to the nearest hundredth.
25/36 x 24/35 = 600/1260
47.62%