Compound Probability
What is the probability of flipping a coin and getting heads, and flipping another coin and getting heads?
1/4 or 25%
What do probability models consist of? Name at least one thing.
1. A sample space
2. Events within the sample space and their probability
What is the probability of flipping a coin and getting heads, and rolling a dice and getting 6?
1/12, or about 8%
What is the definition of a sample space?
A sample space is what the probabilities consist of or possible outcomes.
A dice is rolled 12 times and it lands on 3 three times. On a coin, heads is flipped 6 times out of 10. What is the probability of rolling a 3 and flipping a heads?
What is 15% or 3/20?
A teacher has a jar and students have to pick a ball randomly without looking. The jar has 1 red ball, 2 blue balls, and 7 black balls. What is the sample space of the balls in the jar?
1 red ball, 2 black balls, and 7 red balls
What is the probability of flipping a coin and getting heads, then flipping a coin and getting tails, and then flipping a coin and getting heads again?
1/8 or about 12.5%
A teacher has a jar and students have to pick a ball randomly without looking. The jar has 1 red ball, 2 blue balls, and 7 black balls. What are the possible outcomes that could occur?
3 possible outcomes can occur:
(1) Getting a red ball
(2) Getting a blue ball
(3) Getting a black ball
What is the probability of flipping a coin and getting heads, then flipping that same coin and getting tails, and then rolling a dice to get a factor of 6?
1/6 or about 16.7%
Moby placed 10 of Tim's toy cars into a box. There are 3 red cars, 4 orange cars, 1 purple car, 1 pink car, and 1 blue car. What is the sample space AND possible outcomes that could happen if Tim picked 1 car from the box, at random?
The sample space is the 3 red cars, 4 orange cars, 1 purple car, 1 pink car, and 1 blue car.
The possible outcomes are:
(1) Picking a red car
(2) Picking an orange car
(3) Picking a purple car
(4) Picking a pink car
(5) Picking a blue car