Experimental Probability
The EXPERIMENTAL probability to get tails if after you flip a coin 10 times and get 3 heads and 7 tails?
What is 7/10 or 70%?
The THEORETICAL probability of a coin flipping tails?
What is 1/2 or 50%?
What is the probability of flipping a coin and getting heads, and flipping another coin and getting heads?
1/4 or 25%
What is the formula to find the theoretical probability?
number of favorable outcomes : total numbers of possible outcomes
What do probability models consist of? Name at least one thing.
1. A sample space
2. Events within the sample space and their probability
The EXPERIMENTAL probability (in percent form) of getting heads if Riley flipped a coin 1000 times and got heads 570 of the time.
What is 57%?
What is the theoretical probability of the spinner getting red, if there are 2 red sections, 2 green sections, 2 orange sections, and 2 blue sections? Simplify.
What is 1/4 OR 25%?
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 formula for finding the experimental probability?
number of times an event occurs : the total number of times the experiment is carried out
What is the definition of a sample space?
A sample space is what the probabilities consist of or possible outcomes.
The definition of experimental probability
What is the actual chance of something to occur which is found by analyzing a certain number of previous outcomes?
What is the definition of a theoretical probability?
A theoretical probability is the expected probability of something to happen.
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%?
What is the definition of relative frequency?
Relative frequency is the ratio for the number of times the event occurs to the total number of trials.
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
You roll a dice 120 times and you got the number four 25 times. What is the EXPERIMENTAL probability of rolling a four again (in percent form, round to the nearest hundreth)?
What is about 21%?
What is the probability of a dice rolling an even number? Simplify.
What is 1/2 OR 50%?
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?
1/6 or about 17%
What is the definition of outcomes?
Outcomes can be defined as possible results.
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
For a board game, a spinner with 4 sections is rolled 50 times. The red section is landed on 12 times, the blue section is landed on 11 times, the yellow landed on 14 times. The green is landed on a remaining number of times. What is the EXPERIMENTAL probability of spinning a green next?
What is 26%?
The theoretical probability of a dice rolling a 6? Round to the nearest hundredth, if in percent form.
What is 1/6, or about 17%?
What is the probability of flipping a coin and getting heads, then flipping that coin and getting tails, and then rolling the dice to get a factor of 6?
1/24 or about 42%
What is the definition of compound probability?
A compound probability is the probability of 2 or more events occurring together.
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